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Finding the Fourth Proportional to 512,255.40, 768,375.90 and 231,772.20

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Solution

The fourth proportional to 512,255.40, 768,375.90 and 231,772.20 is: 347,655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,255.40 : 768,375.90 = 231,772.20 : x
  2. Step 2: Convert to fraction form
    512,255.40/768,375.90 = 231,772.20/x
  3. Step 3: Cross multiply
    512,255.40x = 768,375.90 × 231,772.20
  4. Step 4: Simplify right side
    512,255.40x = 178,088,172,769.98
  5. Step 5: Solve for x
    x = 178,088,172,769.98/512,255.40
  6. Step 6: Final answer
    x = 347,655.04

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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.