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Finding the Fourth Proportional to 458,523.20, 686,472.60 and 406,035.20

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Solution

The fourth proportional to 458,523.20, 686,472.60 and 406,035.20 is: 607,890.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,523.20 : 686,472.60 = 406,035.20 : x
  2. Step 2: Convert to fraction form
    458,523.20/686,472.60 = 406,035.20/x
  3. Step 3: Cross multiply
    458,523.20x = 686,472.60 × 406,035.20
  4. Step 4: Simplify right side
    458,523.20x = 278,732,039,435.52
  5. Step 5: Solve for x
    x = 278,732,039,435.52/458,523.20
  6. Step 6: Final answer
    x = 607,890.81

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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.