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Finding the Fourth Proportional to 657,957.76, 907,982.40 and 356,151.04

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Solution

The fourth proportional to 657,957.76, 907,982.40 and 356,151.04 is: 491,488.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,957.76 : 907,982.40 = 356,151.04 : x
  2. Step 2: Convert to fraction form
    657,957.76/907,982.40 = 356,151.04/x
  3. Step 3: Cross multiply
    657,957.76x = 907,982.40 × 356,151.04
  4. Step 4: Simplify right side
    657,957.76x = 323,378,876,061.70
  5. Step 5: Solve for x
    x = 323,378,876,061.70/657,957.76
  6. Step 6: Final answer
    x = 491,488.81

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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.