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Finding the Fourth Proportional to 257,422.80, 386,185.68 and 88,949.28

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Solution

The fourth proportional to 257,422.80, 386,185.68 and 88,949.28 is: 133,441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,422.80 : 386,185.68 = 88,949.28 : x
  2. Step 2: Convert to fraction form
    257,422.80/386,185.68 = 88,949.28/x
  3. Step 3: Cross multiply
    257,422.80x = 386,185.68 × 88,949.28
  4. Step 4: Simplify right side
    257,422.80x = 34,350,938,182.31
  5. Step 5: Solve for x
    x = 34,350,938,182.31/257,422.80
  6. Step 6: Final answer
    x = 133,441.71

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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.