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Finding the Fourth Proportional to 275,397.44, 412,708.23 and 218,987.15

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Solution

The fourth proportional to 275,397.44, 412,708.23 and 218,987.15 is: 328,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,397.44 : 412,708.23 = 218,987.15 : x
  2. Step 2: Convert to fraction form
    275,397.44/412,708.23 = 218,987.15/x
  3. Step 3: Cross multiply
    275,397.44x = 412,708.23 × 218,987.15
  4. Step 4: Simplify right side
    275,397.44x = 90,377,797,005.70
  5. Step 5: Solve for x
    x = 90,377,797,005.70/275,397.44
  6. Step 6: Final answer
    x = 328,172.25

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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.