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Finding the Fourth Proportional to 206,375.40, 308,979.90 and 185,380.20

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Solution

The fourth proportional to 206,375.40, 308,979.90 and 185,380.20 is: 277,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,375.40 : 308,979.90 = 185,380.20 : x
  2. Step 2: Convert to fraction form
    206,375.40/308,979.90 = 185,380.20/x
  3. Step 3: Cross multiply
    206,375.40x = 308,979.90 × 185,380.20
  4. Step 4: Simplify right side
    206,375.40x = 57,278,755,657.98
  5. Step 5: Solve for x
    x = 57,278,755,657.98/206,375.40
  6. Step 6: Final answer
    x = 277,546.43

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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.