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Finding the Fourth Proportional to 274,687.86, 378,935.52 and 177,863.90

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Solution

The fourth proportional to 274,687.86, 378,935.52 and 177,863.90 is: 245,365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,687.86 : 378,935.52 = 177,863.90 : x
  2. Step 2: Convert to fraction form
    274,687.86/378,935.52 = 177,863.90/x
  3. Step 3: Cross multiply
    274,687.86x = 378,935.52 × 177,863.90
  4. Step 4: Simplify right side
    274,687.86x = 67,398,949,005.57
  5. Step 5: Solve for x
    x = 67,398,949,005.57/274,687.86
  6. Step 6: Final answer
    x = 245,365.59

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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.