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Finding the Fourth Proportional to 274,144.50, 378,363.15 and 160,945.38

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Solution

The fourth proportional to 274,144.50, 378,363.15 and 160,945.38 is: 222,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,144.50 : 378,363.15 = 160,945.38 : x
  2. Step 2: Convert to fraction form
    274,144.50/378,363.15 = 160,945.38/x
  3. Step 3: Cross multiply
    274,144.50x = 378,363.15 × 160,945.38
  4. Step 4: Simplify right side
    274,144.50x = 60,895,800,954.75
  5. Step 5: Solve for x
    x = 60,895,800,954.75/274,144.50
  6. Step 6: Final answer
    x = 222,130.30

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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.