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Finding the Fourth Proportional to 431,640.39, 647,519.67 and 147,254.58

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Solution

The fourth proportional to 431,640.39, 647,519.67 and 147,254.58 is: 220,902.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,640.39 : 647,519.67 = 147,254.58 : x
  2. Step 2: Convert to fraction form
    431,640.39/647,519.67 = 147,254.58/x
  3. Step 3: Cross multiply
    431,640.39x = 647,519.67 × 147,254.58
  4. Step 4: Simplify right side
    431,640.39x = 95,350,238,868.74
  5. Step 5: Solve for x
    x = 95,350,238,868.74/431,640.39
  6. Step 6: Final answer
    x = 220,902.03

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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.