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Finding the Fourth Proportional to 458,609.38, 686,134.23 and 402,023.86

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Solution

The fourth proportional to 458,609.38, 686,134.23 and 402,023.86 is: 601,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,609.38 : 686,134.23 = 402,023.86 : x
  2. Step 2: Convert to fraction form
    458,609.38/686,134.23 = 402,023.86/x
  3. Step 3: Cross multiply
    458,609.38x = 686,134.23 × 402,023.86
  4. Step 4: Simplify right side
    458,609.38x = 275,842,331,622.73
  5. Step 5: Solve for x
    x = 275,842,331,622.73/458,609.38
  6. Step 6: Final answer
    x = 601,475.56

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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.