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Finding the Fourth Proportional to 447,418.80, 617,451.92 and 253,834.68

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Solution

The fourth proportional to 447,418.80, 617,451.92 and 253,834.68 is: 350,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,418.80 : 617,451.92 = 253,834.68 : x
  2. Step 2: Convert to fraction form
    447,418.80/617,451.92 = 253,834.68/x
  3. Step 3: Cross multiply
    447,418.80x = 617,451.92 × 253,834.68
  4. Step 4: Simplify right side
    447,418.80x = 156,730,709,259.41
  5. Step 5: Solve for x
    x = 156,730,709,259.41/447,418.80
  6. Step 6: Final answer
    x = 350,299.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.