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Finding the Fourth Proportional to 218,636.38, 327,609.15 and 165,074.86

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Solution

The fourth proportional to 218,636.38, 327,609.15 and 165,074.86 is: 247,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,636.38 : 327,609.15 = 165,074.86 : x
  2. Step 2: Convert to fraction form
    218,636.38/327,609.15 = 165,074.86/x
  3. Step 3: Cross multiply
    218,636.38x = 327,609.15 × 165,074.86
  4. Step 4: Simplify right side
    218,636.38x = 54,080,034,570.97
  5. Step 5: Solve for x
    x = 54,080,034,570.97/218,636.38
  6. Step 6: Final answer
    x = 247,351.49

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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.