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Finding the Fourth Proportional to 417,909.80, 626,435.76 and 165,087.92

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Solution

The fourth proportional to 417,909.80, 626,435.76 and 165,087.92 is: 247,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,909.80 : 626,435.76 = 165,087.92 : x
  2. Step 2: Convert to fraction form
    417,909.80/626,435.76 = 165,087.92/x
  3. Step 3: Cross multiply
    417,909.80x = 626,435.76 × 165,087.92
  4. Step 4: Simplify right side
    417,909.80x = 103,416,976,632.02
  5. Step 5: Solve for x
    x = 103,416,976,632.02/417,909.80
  6. Step 6: Final answer
    x = 247,462.43

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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.