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Finding the Fourth Proportional to 394,085.60, 591,214.80 and 127,800.80

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Solution

The fourth proportional to 394,085.60, 591,214.80 and 127,800.80 is: 191,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,085.60 : 591,214.80 = 127,800.80 : x
  2. Step 2: Convert to fraction form
    394,085.60/591,214.80 = 127,800.80/x
  3. Step 3: Cross multiply
    394,085.60x = 591,214.80 × 127,800.80
  4. Step 4: Simplify right side
    394,085.60x = 75,557,724,411.84
  5. Step 5: Solve for x
    x = 75,557,724,411.84/394,085.60
  6. Step 6: Final answer
    x = 191,729.22

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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.