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Finding the Fourth Proportional to 417,719.52, 626,644.56 and 137,172.96

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Solution

The fourth proportional to 417,719.52, 626,644.56 and 137,172.96 is: 205,780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,719.52 : 626,644.56 = 137,172.96 : x
  2. Step 2: Convert to fraction form
    417,719.52/626,644.56 = 137,172.96/x
  3. Step 3: Cross multiply
    417,719.52x = 626,644.56 × 137,172.96
  4. Step 4: Simplify right side
    417,719.52x = 85,958,689,163.10
  5. Step 5: Solve for x
    x = 85,958,689,163.10/417,719.52
  6. Step 6: Final answer
    x = 205,780.88

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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.