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Finding the Fourth Proportional to 274,493.15, 378,755.36 and 172,446.38

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Solution

The fourth proportional to 274,493.15, 378,755.36 and 172,446.38 is: 237,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,493.15 : 378,755.36 = 172,446.38 : x
  2. Step 2: Convert to fraction form
    274,493.15/378,755.36 = 172,446.38/x
  3. Step 3: Cross multiply
    274,493.15x = 378,755.36 × 172,446.38
  4. Step 4: Simplify right side
    274,493.15x = 65,314,990,822.25
  5. Step 5: Solve for x
    x = 65,314,990,822.25/274,493.15
  6. Step 6: Final answer
    x = 237,947.61

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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.