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Finding the Fourth Proportional to 394,323.84, 591,572.43 and 128,112.48

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Solution

The fourth proportional to 394,323.84, 591,572.43 and 128,112.48 is: 192,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,323.84 : 591,572.43 = 128,112.48 : x
  2. Step 2: Convert to fraction form
    394,323.84/591,572.43 = 128,112.48/x
  3. Step 3: Cross multiply
    394,323.84x = 591,572.43 × 128,112.48
  4. Step 4: Simplify right side
    394,323.84x = 75,787,811,106.93
  5. Step 5: Solve for x
    x = 75,787,811,106.93/394,323.84
  6. Step 6: Final answer
    x = 192,196.88

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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.