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Finding the Fourth Proportional to 486,654.70, 729,983.76 and 149,693.08

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Solution

The fourth proportional to 486,654.70, 729,983.76 and 149,693.08 is: 224,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,654.70 : 729,983.76 = 149,693.08 : x
  2. Step 2: Convert to fraction form
    486,654.70/729,983.76 = 149,693.08/x
  3. Step 3: Cross multiply
    486,654.70x = 729,983.76 × 149,693.08
  4. Step 4: Simplify right side
    486,654.70x = 109,273,517,384.38
  5. Step 5: Solve for x
    x = 109,273,517,384.38/486,654.70
  6. Step 6: Final answer
    x = 224,540.15

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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.