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Finding the Fourth Proportional to 275,167.92, 379,217.54 and 214,642.70

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Solution

The fourth proportional to 275,167.92, 379,217.54 and 214,642.70 is: 295,805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,167.92 : 379,217.54 = 214,642.70 : x
  2. Step 2: Convert to fraction form
    275,167.92/379,217.54 = 214,642.70/x
  3. Step 3: Cross multiply
    275,167.92x = 379,217.54 × 214,642.70
  4. Step 4: Simplify right side
    275,167.92x = 81,396,273,703.66
  5. Step 5: Solve for x
    x = 81,396,273,703.66/275,167.92
  6. Step 6: Final answer
    x = 295,805.83

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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.