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Finding the Fourth Proportional to 431,640.43, 647,519.74 and 147,254.63

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Solution

The fourth proportional to 431,640.43, 647,519.74 and 147,254.63 is: 220,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,640.43 : 647,519.74 = 147,254.63 : x
  2. Step 2: Convert to fraction form
    431,640.43/647,519.74 = 147,254.63/x
  3. Step 3: Cross multiply
    431,640.43x = 647,519.74 × 147,254.63
  4. Step 4: Simplify right side
    431,640.43x = 95,350,279,575.06
  5. Step 5: Solve for x
    x = 95,350,279,575.06/431,640.43
  6. Step 6: Final answer
    x = 220,902.10

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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.