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Finding the Fourth Proportional to 218,319.10, 327,459.88 and 132,907.78

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Solution

The fourth proportional to 218,319.10, 327,459.88 and 132,907.78 is: 199,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,319.10 : 327,459.88 = 132,907.78 : x
  2. Step 2: Convert to fraction form
    218,319.10/327,459.88 = 132,907.78/x
  3. Step 3: Cross multiply
    218,319.10x = 327,459.88 × 132,907.78
  4. Step 4: Simplify right side
    218,319.10x = 43,521,965,689.87
  5. Step 5: Solve for x
    x = 43,521,965,689.87/218,319.10
  6. Step 6: Final answer
    x = 199,350.24

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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.