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Finding the Fourth Proportional to 281,778.92, 388,201.38 and 196,761.32

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Solution

The fourth proportional to 281,778.92, 388,201.38 and 196,761.32 is: 271,074.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,778.92 : 388,201.38 = 196,761.32 : x
  2. Step 2: Convert to fraction form
    281,778.92/388,201.38 = 196,761.32/x
  3. Step 3: Cross multiply
    281,778.92x = 388,201.38 × 196,761.32
  4. Step 4: Simplify right side
    281,778.92x = 76,383,015,954.62
  5. Step 5: Solve for x
    x = 76,383,015,954.62/281,778.92
  6. Step 6: Final answer
    x = 271,074.27

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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.