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Finding the Fourth Proportional to 218,046.80, 327,329.40 and 123,352.40

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Solution

The fourth proportional to 218,046.80, 327,329.40 and 123,352.40 is: 185,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,046.80 : 327,329.40 = 123,352.40 : x
  2. Step 2: Convert to fraction form
    218,046.80/327,329.40 = 123,352.40/x
  3. Step 3: Cross multiply
    218,046.80x = 327,329.40 × 123,352.40
  4. Step 4: Simplify right side
    218,046.80x = 40,376,867,080.56
  5. Step 5: Solve for x
    x = 40,376,867,080.56/218,046.80
  6. Step 6: Final answer
    x = 185,175.23

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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.