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Finding the Fourth Proportional to 394,404.89, 591,140.15 and 180,992.91

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Solution

The fourth proportional to 394,404.89, 591,140.15 and 180,992.91 is: 271,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,404.89 : 591,140.15 = 180,992.91 : x
  2. Step 2: Convert to fraction form
    394,404.89/591,140.15 = 180,992.91/x
  3. Step 3: Cross multiply
    394,404.89x = 591,140.15 × 180,992.91
  4. Step 4: Simplify right side
    394,404.89x = 106,992,175,061.37
  5. Step 5: Solve for x
    x = 106,992,175,061.37/394,404.89
  6. Step 6: Final answer
    x = 271,274.97

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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.