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Finding the Fourth Proportional to 394,170.68, 591,102.64 and 127,866.80

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Solution

The fourth proportional to 394,170.68, 591,102.64 and 127,866.80 is: 191,750.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,170.68 : 591,102.64 = 127,866.80 : x
  2. Step 2: Convert to fraction form
    394,170.68/591,102.64 = 127,866.80/x
  3. Step 3: Cross multiply
    394,170.68x = 591,102.64 × 127,866.80
  4. Step 4: Simplify right side
    394,170.68x = 75,582,403,048.35
  5. Step 5: Solve for x
    x = 75,582,403,048.35/394,170.68
  6. Step 6: Final answer
    x = 191,750.44

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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.