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Finding the Fourth Proportional to 667,345.38, 920,932.05 and 361,414.73

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Solution

The fourth proportional to 667,345.38, 920,932.05 and 361,414.73 is: 498,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,345.38 : 920,932.05 = 361,414.73 : x
  2. Step 2: Convert to fraction form
    667,345.38/920,932.05 = 361,414.73/x
  3. Step 3: Cross multiply
    667,345.38x = 920,932.05 × 361,414.73
  4. Step 4: Simplify right side
    667,345.38x = 332,838,403,594.44
  5. Step 5: Solve for x
    x = 332,838,403,594.44/667,345.38
  6. Step 6: Final answer
    x = 498,749.84

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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.