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Finding the Fourth Proportional to 417,596.31, 626,342.90 and 177,806.61

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Solution

The fourth proportional to 417,596.31, 626,342.90 and 177,806.61 is: 266,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,596.31 : 626,342.90 = 177,806.61 : x
  2. Step 2: Convert to fraction form
    417,596.31/626,342.90 = 177,806.61/x
  3. Step 3: Cross multiply
    417,596.31x = 626,342.90 × 177,806.61
  4. Step 4: Simplify right side
    417,596.31x = 111,367,906,857.54
  5. Step 5: Solve for x
    x = 111,367,906,857.54/417,596.31
  6. Step 6: Final answer
    x = 266,687.96

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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.