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Finding the Fourth Proportional to 391,729.60, 587,767.20 and 181,259.20

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Solution

The fourth proportional to 391,729.60, 587,767.20 and 181,259.20 is: 271,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,729.60 : 587,767.20 = 181,259.20 : x
  2. Step 2: Convert to fraction form
    391,729.60/587,767.20 = 181,259.20/x
  3. Step 3: Cross multiply
    391,729.60x = 587,767.20 × 181,259.20
  4. Step 4: Simplify right side
    391,729.60x = 106,538,212,458.24
  5. Step 5: Solve for x
    x = 106,538,212,458.24/391,729.60
  6. Step 6: Final answer
    x = 271,968.76

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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.