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Finding the Fourth Proportional to 260,734.20, 391,230.90 and 102,967.80

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Solution

The fourth proportional to 260,734.20, 391,230.90 and 102,967.80 is: 154,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,734.20 : 391,230.90 = 102,967.80 : x
  2. Step 2: Convert to fraction form
    260,734.20/391,230.90 = 102,967.80/x
  3. Step 3: Cross multiply
    260,734.20x = 391,230.90 × 102,967.80
  4. Step 4: Simplify right side
    260,734.20x = 40,284,185,065.02
  5. Step 5: Solve for x
    x = 40,284,185,065.02/260,734.20
  6. Step 6: Final answer
    x = 154,502.88

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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.