I have Roland TD-4KP which sounds amazing on headphones (Blue Mo-Fi). The TD-4 has a 1/4 Stereo output as well as an output for headphones (1/4 connector on the side). I have connected both a single (mono) 1/4 plug into the left (mono) jack on my unit to my PA Behringer B212D and another cable which is a 1/4 to XLR cable but sound output to the speaker is not good. I know a speaker will not match the quality of an headphone but it's nowhere near it.
The speaker (B212D) is a 550W + 12 Inch speaker with twitter and it shouldn't sound bad. I am thinking about buying this cable which might solve the issue as this is a stereo to single 1/4 (mono) however, it's a TS cable.
This speaker has 3 knobs each for Volume, High and Low settings and I have tested all variations.
Is there potentially something wrong with the Kit? No, I don't think so as people on forum have asked similar questions but I haven't found an answer.
I also understand the PA is not best in class but I am a beginner and didn't want to invest heaps in Amps made for drummers or Keyboard Amps.
PS: I also have a Behringer MicroAMP to increase the output but of course It didn't help.
Is that 500W Peak, which is different to RMS. Otherwise, having too high an output from the source can be an issue (which you seem to have already addressed. I would have thought at that price, they would be suitable??
Trying a cable is a cheap option and may be the issue (had an issue with a 3 pin recently) and you will probably use it down the track.