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Finding the Fourth Proportional to 275,489.52, 380,146.29 and 154,644.09

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Solution

The fourth proportional to 275,489.52, 380,146.29 and 154,644.09 is: 213,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,489.52 : 380,146.29 = 154,644.09 : x
  2. Step 2: Convert to fraction form
    275,489.52/380,146.29 = 154,644.09/x
  3. Step 3: Cross multiply
    275,489.52x = 380,146.29 × 154,644.09
  4. Step 4: Simplify right side
    275,489.52x = 58,787,377,083.93
  5. Step 5: Solve for x
    x = 58,787,377,083.93/275,489.52
  6. Step 6: Final answer
    x = 213,392.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.