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Finding the Fourth Proportional to 387,447.64, 581,171.46 and 137,954.68

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Solution

The fourth proportional to 387,447.64, 581,171.46 and 137,954.68 is: 206,932.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,447.64 : 581,171.46 = 137,954.68 : x
  2. Step 2: Convert to fraction form
    387,447.64/581,171.46 = 137,954.68/x
  3. Step 3: Cross multiply
    387,447.64x = 581,171.46 × 137,954.68
  4. Step 4: Simplify right side
    387,447.64x = 80,175,322,789.43
  5. Step 5: Solve for x
    x = 80,175,322,789.43/387,447.64
  6. Step 6: Final answer
    x = 206,932.02

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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.