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Finding the Fourth Proportional to 218,422.10, 327,633.15 and 129,629.90

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Solution

The fourth proportional to 218,422.10, 327,633.15 and 129,629.90 is: 194,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,422.10 : 327,633.15 = 129,629.90 : x
  2. Step 2: Convert to fraction form
    218,422.10/327,633.15 = 129,629.90/x
  3. Step 3: Cross multiply
    218,422.10x = 327,633.15 × 129,629.90
  4. Step 4: Simplify right side
    218,422.10x = 42,471,052,471.19
  5. Step 5: Solve for x
    x = 42,471,052,471.19/218,422.10
  6. Step 6: Final answer
    x = 194,444.85

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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.