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Finding the Fourth Proportional to 667,406.35, 921,016.02 and 361,475.65

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Solution

The fourth proportional to 667,406.35, 921,016.02 and 361,475.65 is: 498,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,406.35 : 921,016.02 = 361,475.65 : x
  2. Step 2: Convert to fraction form
    667,406.35/921,016.02 = 361,475.65/x
  3. Step 3: Cross multiply
    667,406.35x = 921,016.02 × 361,475.65
  4. Step 4: Simplify right side
    667,406.35x = 332,924,864,489.91
  5. Step 5: Solve for x
    x = 332,924,864,489.91/667,406.35
  6. Step 6: Final answer
    x = 498,833.83

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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.