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Finding the Fourth Proportional to 274,661.92, 379,071.84 and 198,427.66

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Solution

The fourth proportional to 274,661.92, 379,071.84 and 198,427.66 is: 273,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,661.92 : 379,071.84 = 198,427.66 : x
  2. Step 2: Convert to fraction form
    274,661.92/379,071.84 = 198,427.66/x
  3. Step 3: Cross multiply
    274,661.92x = 379,071.84 × 198,427.66
  4. Step 4: Simplify right side
    274,661.92x = 75,218,338,183.09
  5. Step 5: Solve for x
    x = 75,218,338,183.09/274,661.92
  6. Step 6: Final answer
    x = 273,857.91

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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.