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Finding the Fourth Proportional to 279,744.54, 419,119.32 and 161,170.92

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Solution

The fourth proportional to 279,744.54, 419,119.32 and 161,170.92 is: 241,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,744.54 : 419,119.32 = 161,170.92 : x
  2. Step 2: Convert to fraction form
    279,744.54/419,119.32 = 161,170.92/x
  3. Step 3: Cross multiply
    279,744.54x = 419,119.32 × 161,170.92
  4. Step 4: Simplify right side
    279,744.54x = 67,549,846,394.17
  5. Step 5: Solve for x
    x = 67,549,846,394.17/279,744.54
  6. Step 6: Final answer
    x = 241,469.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.