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Finding the Fourth Proportional to 275,282.25, 412,844.04 and 75,609.15

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Solution

The fourth proportional to 275,282.25, 412,844.04 and 75,609.15 is: 113,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,282.25 : 412,844.04 = 75,609.15 : x
  2. Step 2: Convert to fraction form
    275,282.25/412,844.04 = 75,609.15/x
  3. Step 3: Cross multiply
    275,282.25x = 412,844.04 × 75,609.15
  4. Step 4: Simplify right side
    275,282.25x = 31,214,785,398.80
  5. Step 5: Solve for x
    x = 31,214,785,398.80/275,282.25
  6. Step 6: Final answer
    x = 113,391.93

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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.