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Finding the Fourth Proportional to 486,064.10, 729,096.15 and 458,507.90

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Solution

The fourth proportional to 486,064.10, 729,096.15 and 458,507.90 is: 687,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,064.10 : 729,096.15 = 458,507.90 : x
  2. Step 2: Convert to fraction form
    486,064.10/729,096.15 = 458,507.90/x
  3. Step 3: Cross multiply
    486,064.10x = 729,096.15 × 458,507.90
  4. Step 4: Simplify right side
    486,064.10x = 334,296,344,634.59
  5. Step 5: Solve for x
    x = 334,296,344,634.59/486,064.10
  6. Step 6: Final answer
    x = 687,761.85

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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.