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Finding the Fourth Proportional to 394,404.39, 591,139.40 and 180,992.41

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Solution

The fourth proportional to 394,404.39, 591,139.40 and 180,992.41 is: 271,274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,404.39 : 591,139.40 = 180,992.41 : x
  2. Step 2: Convert to fraction form
    394,404.39/591,139.40 = 180,992.41/x
  3. Step 3: Cross multiply
    394,404.39x = 591,139.40 × 180,992.41
  4. Step 4: Simplify right side
    394,404.39x = 106,991,744,651.95
  5. Step 5: Solve for x
    x = 106,991,744,651.95/394,404.39
  6. Step 6: Final answer
    x = 271,274.22

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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.