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Finding the Fourth Proportional to 394,287.85, 591,107.78 and 169,820.65

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Solution

The fourth proportional to 394,287.85, 591,107.78 and 169,820.65 is: 254,591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,287.85 : 591,107.78 = 169,820.65 : x
  2. Step 2: Convert to fraction form
    394,287.85/591,107.78 = 169,820.65/x
  3. Step 3: Cross multiply
    394,287.85x = 591,107.78 × 169,820.65
  4. Step 4: Simplify right side
    394,287.85x = 100,382,306,570.55
  5. Step 5: Solve for x
    x = 100,382,306,570.55/394,287.85
  6. Step 6: Final answer
    x = 254,591.43

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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.