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Finding the Fourth Proportional to 394,206.75, 591,321.06 and 113,724

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Solution

The fourth proportional to 394,206.75, 591,321.06 and 113,724 is: 170,589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,206.75 : 591,321.06 = 113,724 : x
  2. Step 2: Convert to fraction form
    394,206.75/591,321.06 = 113,724/x
  3. Step 3: Cross multiply
    394,206.75x = 591,321.06 × 113,724
  4. Step 4: Simplify right side
    394,206.75x = 67,247,396,227.44
  5. Step 5: Solve for x
    x = 67,247,396,227.44/394,206.75
  6. Step 6: Final answer
    x = 170,589.15

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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.