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Finding the Fourth Proportional to 418,082.52, 627,165.30 and 133,701.62

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Solution

The fourth proportional to 418,082.52, 627,165.30 and 133,701.62 is: 200,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,082.52 : 627,165.30 = 133,701.62 : x
  2. Step 2: Convert to fraction form
    418,082.52/627,165.30 = 133,701.62/x
  3. Step 3: Cross multiply
    418,082.52x = 627,165.30 × 133,701.62
  4. Step 4: Simplify right side
    418,082.52x = 83,853,016,617.79
  5. Step 5: Solve for x
    x = 83,853,016,617.79/418,082.52
  6. Step 6: Final answer
    x = 200,565.71

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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.