Well first, the amount of power inherent in the average festival rig or even an installed club system will dwarf what you can get out of any four speakers on the planet. That chest-thumping kick drum that's a mainstay of EDM is produced by moving a lot of air very quickly, creating a shockwave you can feel. That requires a lot of big cones, in turn requiring a lot of wattage to properly drive those cones. The larger outdoor shows can have total system power ratings in the hundreds of thousands of watts, distributed through dozens of speakers.
The system also needs to be properly tuned and timed. Virtually all installed PA systems use multiple speaker cabinets, located in multiple places. The difference in distance and off-axis angle between any two speaker cabinets and a particular point in space within the venue will cause sound waves from those speakers to arrive at different times and at different relative levels, causing a certain amount of phase interaction and echo. While it is practically impossible to eliminate this behavior across the entire frequency spectrum from 20-20,000Hz, at every point in space within the venue, there are techniques to mitigate these interactions by properly selecting, placing, aiming and timing each speaker in the system. Proper application of these techniques and others are the bread and butter of acoustic engineers who design sound systems (and entire performance spaces) to minimize harmful interactions.
You also want speakers of different sizes. 15-inch and 18-inch speakers are big and powerful, with a lower reach into sub-bass frequencies, but they're also massive, so they require that much more power to move the cone itself in order to drive the column of air in front of the cone. That typically reduces their response in higher bass and midrange frequencies, which helps form the definition of the leading edge of that kick drum.
Bass guitarists, especially those playing in newer genres where the nuances of tone in the bass guitar is important, often choose cabinets with more smaller speaker cones, allowing them to get as much or more air movement (2 10" speakers have a combined area only slightly less than one 15" speaker, and a cabinet the same size can hold 4 10s vs only one 15) while putting less power through each speaker coil, thus decreasing various losses inherent in trying to put equivalent power through just one coil. The net result, according to many, is a "punchier" sound when using 10s or 12s versus trying to do it all with 15s. Now, the speaker arrangements used for bass guitar amplifiers aren't often seen in PA setups, but the same tricks can be employed. Consider investing in 3-way PA towers with a mid-woofer; this middle speaker will help the larger woofer by covering more of the midrange frequencies that define tone, leaving the bigger cone to handle the lowest fundamentals that generate the thump you feel.