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Finding the Fourth Proportional to 394,092.38, 588,979.24 and 287,700.38

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Solution

The fourth proportional to 394,092.38, 588,979.24 and 287,700.38 is: 429,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,092.38 : 588,979.24 = 287,700.38 : x
  2. Step 2: Convert to fraction form
    394,092.38/588,979.24 = 287,700.38/x
  3. Step 3: Cross multiply
    394,092.38x = 588,979.24 × 287,700.38
  4. Step 4: Simplify right side
    394,092.38x = 169,449,551,160.11
  5. Step 5: Solve for x
    x = 169,449,551,160.11/394,092.38
  6. Step 6: Final answer
    x = 429,974.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.