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Finding the Fourth Proportional to 431,640.89, 647,520.42 and 147,255.09

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Solution

The fourth proportional to 431,640.89, 647,520.42 and 147,255.09 is: 220,902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,640.89 : 647,520.42 = 147,255.09 : x
  2. Step 2: Convert to fraction form
    431,640.89/647,520.42 = 147,255.09/x
  3. Step 3: Cross multiply
    431,640.89x = 647,520.42 × 147,255.09
  4. Step 4: Simplify right side
    431,640.89x = 95,350,674,486.34
  5. Step 5: Solve for x
    x = 95,350,674,486.34/431,640.89
  6. Step 6: Final answer
    x = 220,902.79

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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.