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Finding the Fourth Proportional to 274,521.16, 378,687.74 and 192,974.77

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Solution

The fourth proportional to 274,521.16, 378,687.74 and 192,974.77 is: 266,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,521.16 : 378,687.74 = 192,974.77 : x
  2. Step 2: Convert to fraction form
    274,521.16/378,687.74 = 192,974.77/x
  3. Step 3: Cross multiply
    274,521.16x = 378,687.74 × 192,974.77
  4. Step 4: Simplify right side
    274,521.16x = 73,077,177,616.73
  5. Step 5: Solve for x
    x = 73,077,177,616.73/274,521.16
  6. Step 6: Final answer
    x = 266,198.71

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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.