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Finding the Fourth Proportional to 274,655, 378,992 and 159,958.70

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Solution

The fourth proportional to 274,655, 378,992 and 159,958.70 is: 220,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,655 : 378,992 = 159,958.70 : x
  2. Step 2: Convert to fraction form
    274,655/378,992 = 159,958.70/x
  3. Step 3: Cross multiply
    274,655x = 378,992 × 159,958.70
  4. Step 4: Simplify right side
    274,655x = 60,623,067,630.40
  5. Step 5: Solve for x
    x = 60,623,067,630.40/274,655
  6. Step 6: Final answer
    x = 220,724.43

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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.