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Finding the Fourth Proportional to 394,622.80, 591,750.17 and 205,032.20

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Solution

The fourth proportional to 394,622.80, 591,750.17 and 205,032.20 is: 307,452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,622.80 : 591,750.17 = 205,032.20 : x
  2. Step 2: Convert to fraction form
    394,622.80/591,750.17 = 205,032.20/x
  3. Step 3: Cross multiply
    394,622.80x = 591,750.17 × 205,032.20
  4. Step 4: Simplify right side
    394,622.80x = 121,327,835,221.56
  5. Step 5: Solve for x
    x = 121,327,835,221.56/394,622.80
  6. Step 6: Final answer
    x = 307,452.68

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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.