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Finding the Fourth Proportional to 667,059.11, 920,543.05 and 361,138.71

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Solution

The fourth proportional to 667,059.11, 920,543.05 and 361,138.71 is: 498,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,059.11 : 920,543.05 = 361,138.71 : x
  2. Step 2: Convert to fraction form
    667,059.11/920,543.05 = 361,138.71/x
  3. Step 3: Cross multiply
    667,059.11x = 920,543.05 × 361,138.71
  4. Step 4: Simplify right side
    667,059.11x = 332,443,730,027.89
  5. Step 5: Solve for x
    x = 332,443,730,027.89/667,059.11
  6. Step 6: Final answer
    x = 498,372.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.