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Finding the Fourth Proportional to 204,642.81, 280,361.97 and 196,972.56

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Solution

The fourth proportional to 204,642.81, 280,361.97 and 196,972.56 is: 269,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,642.81 : 280,361.97 = 196,972.56 : x
  2. Step 2: Convert to fraction form
    204,642.81/280,361.97 = 196,972.56/x
  3. Step 3: Cross multiply
    204,642.81x = 280,361.97 × 196,972.56
  4. Step 4: Simplify right side
    204,642.81x = 55,223,614,957.54
  5. Step 5: Solve for x
    x = 55,223,614,957.54/204,642.81
  6. Step 6: Final answer
    x = 269,853.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.