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Finding the Fourth Proportional to 667,103.18, 920,591.33 and 361,177.11

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Solution

The fourth proportional to 667,103.18, 920,591.33 and 361,177.11 is: 498,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,103.18 : 920,591.33 = 361,177.11 : x
  2. Step 2: Convert to fraction form
    667,103.18/920,591.33 = 361,177.11/x
  3. Step 3: Cross multiply
    667,103.18x = 920,591.33 × 361,177.11
  4. Step 4: Simplify right side
    667,103.18x = 332,496,514,254.57
  5. Step 5: Solve for x
    x = 332,496,514,254.57/667,103.18
  6. Step 6: Final answer
    x = 498,418.43

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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.