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Finding the Fourth Proportional to 274,654.50, 378,991.31 and 159,958.22

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Solution

The fourth proportional to 274,654.50, 378,991.31 and 159,958.22 is: 220,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,654.50 : 378,991.31 = 159,958.22 : x
  2. Step 2: Convert to fraction form
    274,654.50/378,991.31 = 159,958.22/x
  3. Step 3: Cross multiply
    274,654.50x = 378,991.31 × 159,958.22
  4. Step 4: Simplify right side
    274,654.50x = 60,622,772,648.32
  5. Step 5: Solve for x
    x = 60,622,772,648.32/274,654.50
  6. Step 6: Final answer
    x = 220,723.76

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1.5x scale

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.