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Finding the Fourth Proportional to 394,392.75, 591,293.88 and 127,994.28

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Solution

The fourth proportional to 394,392.75, 591,293.88 and 127,994.28 is: 191,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,392.75 : 591,293.88 = 127,994.28 : x
  2. Step 2: Convert to fraction form
    394,392.75/591,293.88 = 127,994.28/x
  3. Step 3: Cross multiply
    394,392.75x = 591,293.88 × 127,994.28
  4. Step 4: Simplify right side
    394,392.75x = 75,682,234,439.01
  5. Step 5: Solve for x
    x = 75,682,234,439.01/394,392.75
  6. Step 6: Final answer
    x = 191,895.60

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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.