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Finding the Fourth Proportional to 394,081.40, 590,976.30 and 127,850.60

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Solution

The fourth proportional to 394,081.40, 590,976.30 and 127,850.60 is: 191,728.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,081.40 : 590,976.30 = 127,850.60 : x
  2. Step 2: Convert to fraction form
    394,081.40/590,976.30 = 127,850.60/x
  3. Step 3: Cross multiply
    394,081.40x = 590,976.30 × 127,850.60
  4. Step 4: Simplify right side
    394,081.40x = 75,556,674,540.78
  5. Step 5: Solve for x
    x = 75,556,674,540.78/394,081.40
  6. Step 6: Final answer
    x = 191,728.60

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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.