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Finding the Fourth Proportional to 391,725.60, 587,761.20 and 181,255.20

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Solution

The fourth proportional to 391,725.60, 587,761.20 and 181,255.20 is: 271,962.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,725.60 : 587,761.20 = 181,255.20 : x
  2. Step 2: Convert to fraction form
    391,725.60/587,761.20 = 181,255.20/x
  3. Step 3: Cross multiply
    391,725.60x = 587,761.20 × 181,255.20
  4. Step 4: Simplify right side
    391,725.60x = 106,534,773,858.24
  5. Step 5: Solve for x
    x = 106,534,773,858.24/391,725.60
  6. Step 6: Final answer
    x = 271,962.76

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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.