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Finding the Fourth Proportional to 394,496.29, 591,744.43 and 327,984.15

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Solution

The fourth proportional to 394,496.29, 591,744.43 and 327,984.15 is: 491,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,496.29 : 591,744.43 = 327,984.15 : x
  2. Step 2: Convert to fraction form
    394,496.29/591,744.43 = 327,984.15/x
  3. Step 3: Cross multiply
    394,496.29x = 591,744.43 × 327,984.15
  4. Step 4: Simplify right side
    394,496.29x = 194,082,793,890.79
  5. Step 5: Solve for x
    x = 194,082,793,890.79/394,496.29
  6. Step 6: Final answer
    x = 491,976.22

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Similar ratio
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1.5x scale

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.