Finding the Fourth Proportional to 395,258,489,713.16, 545,534,940,963.98 and 256,381,880,028.23
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Solution
The fourth proportional to 395,258,489,713.16, 545,534,940,963.98 and 256,381,880,028.23 is: 353,857,734,686.32
Step by Step Solution
- Step 1: Write the proportion equation
395,258,489,713.16 : 545,534,940,963.98 = 256,381,880,028.23 : x - Step 2: Convert to fraction form
395,258,489,713.16/545,534,940,963.98 = 256,381,880,028.23/x - Step 3: Cross multiply
395,258,489,713.16x = 545,534,940,963.98 × 256,381,880,028.23 - Step 4: Simplify right side
395,258,489,713.16x = 139,865,273,785,434,654,113,792 - Step 5: Solve for x
x = 139,865,273,785,434,654,113,792/395,258,489,713.16 - Step 6: Final answer
x = 353,857,734,686.32
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.