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Finding the Fourth Proportional to 391,665.64, 587,392.20 and 107,287.78

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Solution

The fourth proportional to 391,665.64, 587,392.20 and 107,287.78 is: 160,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,665.64 : 587,392.20 = 107,287.78 : x
  2. Step 2: Convert to fraction form
    391,665.64/587,392.20 = 107,287.78/x
  3. Step 3: Cross multiply
    391,665.64x = 587,392.20 × 107,287.78
  4. Step 4: Simplify right side
    391,665.64x = 63,020,005,127.32
  5. Step 5: Solve for x
    x = 63,020,005,127.32/391,665.64
  6. Step 6: Final answer
    x = 160,902.56

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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.