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Finding the Fourth Proportional to 257,757.48, 386,441.82 and 169,033.32

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Solution

The fourth proportional to 257,757.48, 386,441.82 and 169,033.32 is: 253,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,757.48 : 386,441.82 = 169,033.32 : x
  2. Step 2: Convert to fraction form
    257,757.48/386,441.82 = 169,033.32/x
  3. Step 3: Cross multiply
    257,757.48x = 386,441.82 × 169,033.32
  4. Step 4: Simplify right side
    257,757.48x = 65,321,543,821.44
  5. Step 5: Solve for x
    x = 65,321,543,821.44/257,757.48
  6. Step 6: Final answer
    x = 253,422.50

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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.