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Finding the Fourth Proportional to 394,020.60, 591,103.80 and 127,789.80

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Solution

The fourth proportional to 394,020.60, 591,103.80 and 127,789.80 is: 191,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,020.60 : 591,103.80 = 127,789.80 : x
  2. Step 2: Convert to fraction form
    394,020.60/591,103.80 = 127,789.80/x
  3. Step 3: Cross multiply
    394,020.60x = 591,103.80 × 127,789.80
  4. Step 4: Simplify right side
    394,020.60x = 75,537,036,381.24
  5. Step 5: Solve for x
    x = 75,537,036,381.24/394,020.60
  6. Step 6: Final answer
    x = 191,708.34

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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.