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Finding the Fourth Proportional to 204,656.49, 280,380.41 and 196,986.17

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Solution

The fourth proportional to 204,656.49, 280,380.41 and 196,986.17 is: 269,872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,656.49 : 280,380.41 = 196,986.17 : x
  2. Step 2: Convert to fraction form
    204,656.49/280,380.41 = 196,986.17/x
  3. Step 3: Cross multiply
    204,656.49x = 280,380.41 × 196,986.17
  4. Step 4: Simplify right side
    204,656.49x = 55,231,062,124.00
  5. Step 5: Solve for x
    x = 55,231,062,124.00/204,656.49
  6. Step 6: Final answer
    x = 269,872.04

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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.