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Finding the Fourth Proportional to 486,098.10, 729,147.15 and 458,541.90

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Solution

The fourth proportional to 486,098.10, 729,147.15 and 458,541.90 is: 687,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,098.10 : 729,147.15 = 458,541.90 : x
  2. Step 2: Convert to fraction form
    486,098.10/729,147.15 = 458,541.90/x
  3. Step 3: Cross multiply
    486,098.10x = 729,147.15 × 458,541.90
  4. Step 4: Simplify right side
    486,098.10x = 334,344,519,540.59
  5. Step 5: Solve for x
    x = 334,344,519,540.59/486,098.10
  6. Step 6: Final answer
    x = 687,812.85

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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.