Compare a tiny amount of radiation coming from a long distance (say the core of the earth) and a tiny amount of radiation coming from speck of decaying radioactive material released by Fukushima that is floating around in the air of your office room. You measure the radiation in the room and sure enough the radiation is very weak. You conclude "See? Fukushima is no worse than natural radiation". Now what happens if you're so unfortunate to inhale that speck of material and it settles in your lungs? Then the picture changes completely because some cells of your lungs will now be very close to the source of radiation and these cells -- and always the same cells -- will be subjected to a long period of intense radiation.