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Finding the Fourth Proportional to 394,132.40, 591,052.80 and 127,901.60

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Solution

The fourth proportional to 394,132.40, 591,052.80 and 127,901.60 is: 191,805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,132.40 : 591,052.80 = 127,901.60 : x
  2. Step 2: Convert to fraction form
    394,132.40/591,052.80 = 127,901.60/x
  3. Step 3: Cross multiply
    394,132.40x = 591,052.80 × 127,901.60
  4. Step 4: Simplify right side
    394,132.40x = 75,596,598,804.48
  5. Step 5: Solve for x
    x = 75,596,598,804.48/394,132.40
  6. Step 6: Final answer
    x = 191,805.09

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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.