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Finding the Fourth Proportional to 431,640.56, 647,519.93 and 147,254.76

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Solution

The fourth proportional to 431,640.56, 647,519.93 and 147,254.76 is: 220,902.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,640.56 : 647,519.93 = 147,254.76 : x
  2. Step 2: Convert to fraction form
    431,640.56/647,519.93 = 147,254.76/x
  3. Step 3: Cross multiply
    431,640.56x = 647,519.93 × 147,254.76
  4. Step 4: Simplify right side
    431,640.56x = 95,350,388,281.63
  5. Step 5: Solve for x
    x = 95,350,388,281.63/431,640.56
  6. Step 6: Final answer
    x = 220,902.29

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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.