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Finding the Fourth Proportional to 657,058.68, 985,694.52 and 257,482.80

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Solution

The fourth proportional to 657,058.68, 985,694.52 and 257,482.80 is: 386,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,058.68 : 985,694.52 = 257,482.80 : x
  2. Step 2: Convert to fraction form
    657,058.68/985,694.52 = 257,482.80/x
  3. Step 3: Cross multiply
    657,058.68x = 985,694.52 × 257,482.80
  4. Step 4: Simplify right side
    657,058.68x = 253,799,384,954.26
  5. Step 5: Solve for x
    x = 253,799,384,954.26/657,058.68
  6. Step 6: Final answer
    x = 386,265.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.