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Finding the Fourth Proportional to 431,640.45, 647,519.76 and 147,254.65

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Solution

The fourth proportional to 431,640.45, 647,519.76 and 147,254.65 is: 220,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,640.45 : 647,519.76 = 147,254.65 : x
  2. Step 2: Convert to fraction form
    431,640.45/647,519.76 = 147,254.65/x
  3. Step 3: Cross multiply
    431,640.45x = 647,519.76 × 147,254.65
  4. Step 4: Simplify right side
    431,640.45x = 95,350,293,346.19
  5. Step 5: Solve for x
    x = 95,350,293,346.19/431,640.45
  6. Step 6: Final answer
    x = 220,902.13

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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.