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Finding the Fourth Proportional to 311,778.88, 429,967.92 and 204,309.88

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Solution

The fourth proportional to 311,778.88, 429,967.92 and 204,309.88 is: 281,759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,778.88 : 429,967.92 = 204,309.88 : x
  2. Step 2: Convert to fraction form
    311,778.88/429,967.92 = 204,309.88/x
  3. Step 3: Cross multiply
    311,778.88x = 429,967.92 × 204,309.88
  4. Step 4: Simplify right side
    311,778.88x = 87,846,694,139.05
  5. Step 5: Solve for x
    x = 87,846,694,139.05/311,778.88
  6. Step 6: Final answer
    x = 281,759.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.