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Finding the Fourth Proportional to 260,691.80, 391,185.50 and 140,747.15

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Solution

The fourth proportional to 260,691.80, 391,185.50 and 140,747.15 is: 211,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,691.80 : 391,185.50 = 140,747.15 : x
  2. Step 2: Convert to fraction form
    260,691.80/391,185.50 = 140,747.15/x
  3. Step 3: Cross multiply
    260,691.80x = 391,185.50 × 140,747.15
  4. Step 4: Simplify right side
    260,691.80x = 55,058,244,520.55
  5. Step 5: Solve for x
    x = 55,058,244,520.55/260,691.80
  6. Step 6: Final answer
    x = 211,200.53

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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.