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Finding the Fourth Proportional to 391,419.44, 587,362.44 and 142,120.88

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Solution

The fourth proportional to 391,419.44, 587,362.44 and 142,120.88 is: 213,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,419.44 : 587,362.44 = 142,120.88 : x
  2. Step 2: Convert to fraction form
    391,419.44/587,362.44 = 142,120.88/x
  3. Step 3: Cross multiply
    391,419.44x = 587,362.44 × 142,120.88
  4. Step 4: Simplify right side
    391,419.44x = 83,476,466,851.75
  5. Step 5: Solve for x
    x = 83,476,466,851.75/391,419.44
  6. Step 6: Final answer
    x = 213,266.02

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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.