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Finding the Fourth Proportional to 502,139.62, 752,932.17 and 261,653.11

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Solution

The fourth proportional to 502,139.62, 752,932.17 and 261,653.11 is: 392,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,139.62 : 752,932.17 = 261,653.11 : x
  2. Step 2: Convert to fraction form
    502,139.62/752,932.17 = 261,653.11/x
  3. Step 3: Cross multiply
    502,139.62x = 752,932.17 × 261,653.11
  4. Step 4: Simplify right side
    502,139.62x = 197,007,043,899.55
  5. Step 5: Solve for x
    x = 197,007,043,899.55/502,139.62
  6. Step 6: Final answer
    x = 392,335.19

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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.