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Finding the Fourth Proportional to 408,966.60, 613,449.90 and 259,375.80

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Solution

The fourth proportional to 408,966.60, 613,449.90 and 259,375.80 is: 389,063.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,966.60 : 613,449.90 = 259,375.80 : x
  2. Step 2: Convert to fraction form
    408,966.60/613,449.90 = 259,375.80/x
  3. Step 3: Cross multiply
    408,966.60x = 613,449.90 × 259,375.80
  4. Step 4: Simplify right side
    408,966.60x = 159,114,058,572.42
  5. Step 5: Solve for x
    x = 159,114,058,572.42/408,966.60
  6. Step 6: Final answer
    x = 389,063.70

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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.