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Finding the Fourth Proportional to 274,658.41, 379,067.01 and 198,424.15

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Solution

The fourth proportional to 274,658.41, 379,067.01 and 198,424.15 is: 273,853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,658.41 : 379,067.01 = 198,424.15 : x
  2. Step 2: Convert to fraction form
    274,658.41/379,067.01 = 198,424.15/x
  3. Step 3: Cross multiply
    274,658.41x = 379,067.01 × 198,424.15
  4. Step 4: Simplify right side
    274,658.41x = 75,216,047,560.53
  5. Step 5: Solve for x
    x = 75,216,047,560.53/274,658.41
  6. Step 6: Final answer
    x = 273,853.06

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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.