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Finding the Fourth Proportional to 447,344.88, 617,564.52 and 345,140.88

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Solution

The fourth proportional to 447,344.88, 617,564.52 and 345,140.88 is: 476,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,344.88 : 617,564.52 = 345,140.88 : x
  2. Step 2: Convert to fraction form
    447,344.88/617,564.52 = 345,140.88/x
  3. Step 3: Cross multiply
    447,344.88x = 617,564.52 × 345,140.88
  4. Step 4: Simplify right side
    447,344.88x = 213,146,761,889.58
  5. Step 5: Solve for x
    x = 213,146,761,889.58/447,344.88
  6. Step 6: Final answer
    x = 476,470.78

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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.