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Finding the Fourth Proportional to 462,082.72, 693,148.56 and 129,684.64

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Solution

The fourth proportional to 462,082.72, 693,148.56 and 129,684.64 is: 194,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,082.72 : 693,148.56 = 129,684.64 : x
  2. Step 2: Convert to fraction form
    462,082.72/693,148.56 = 129,684.64/x
  3. Step 3: Cross multiply
    462,082.72x = 693,148.56 × 129,684.64
  4. Step 4: Simplify right side
    462,082.72x = 89,890,721,470.12
  5. Step 5: Solve for x
    x = 89,890,721,470.12/462,082.72
  6. Step 6: Final answer
    x = 194,533.83

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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.