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Finding the Fourth Proportional to 394,613.21, 591,735.80 and 205,022.61

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Solution

The fourth proportional to 394,613.21, 591,735.80 and 205,022.61 is: 307,438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,613.21 : 591,735.80 = 205,022.61 : x
  2. Step 2: Convert to fraction form
    394,613.21/591,735.80 = 205,022.61/x
  3. Step 3: Cross multiply
    394,613.21x = 591,735.80 × 205,022.61
  4. Step 4: Simplify right side
    394,613.21x = 121,319,218,146.44
  5. Step 5: Solve for x
    x = 121,319,218,146.44/394,613.21
  6. Step 6: Final answer
    x = 307,438.31

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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.