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Finding the Fourth Proportional to 257,844.57, 386,765.67 and 80,351.70

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Solution

The fourth proportional to 257,844.57, 386,765.67 and 80,351.70 is: 120,527.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,844.57 : 386,765.67 = 80,351.70 : x
  2. Step 2: Convert to fraction form
    257,844.57/386,765.67 = 80,351.70/x
  3. Step 3: Cross multiply
    257,844.57x = 386,765.67 × 80,351.70
  4. Step 4: Simplify right side
    257,844.57x = 31,077,279,086.14
  5. Step 5: Solve for x
    x = 31,077,279,086.14/257,844.57
  6. Step 6: Final answer
    x = 120,527.18

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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.