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Finding the Fourth Proportional to 394,218.40, 591,181.80 and 127,987.60

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Solution

The fourth proportional to 394,218.40, 591,181.80 and 127,987.60 is: 191,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,218.40 : 591,181.80 = 127,987.60 : x
  2. Step 2: Convert to fraction form
    394,218.40/591,181.80 = 127,987.60/x
  3. Step 3: Cross multiply
    394,218.40x = 591,181.80 × 127,987.60
  4. Step 4: Simplify right side
    394,218.40x = 75,663,939,745.68
  5. Step 5: Solve for x
    x = 75,663,939,745.68/394,218.40
  6. Step 6: Final answer
    x = 191,934.06

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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.