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Finding the Fourth Proportional to 218,379.40, 327,741.90 and 85,323.40

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Solution

The fourth proportional to 218,379.40, 327,741.90 and 85,323.40 is: 128,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,379.40 : 327,741.90 = 85,323.40 : x
  2. Step 2: Convert to fraction form
    218,379.40/327,741.90 = 85,323.40/x
  3. Step 3: Cross multiply
    218,379.40x = 327,741.90 × 85,323.40
  4. Step 4: Simplify right side
    218,379.40x = 27,964,053,230.46
  5. Step 5: Solve for x
    x = 27,964,053,230.46/218,379.40
  6. Step 6: Final answer
    x = 128,052.61

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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.