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Finding the Fourth Proportional to 394,408.70, 591,879.24 and 154,492.83

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Solution

The fourth proportional to 394,408.70, 591,879.24 and 154,492.83 is: 231,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,408.70 : 591,879.24 = 154,492.83 : x
  2. Step 2: Convert to fraction form
    394,408.70/591,879.24 = 154,492.83/x
  3. Step 3: Cross multiply
    394,408.70x = 591,879.24 × 154,492.83
  4. Step 4: Simplify right side
    394,408.70x = 91,441,098,805.85
  5. Step 5: Solve for x
    x = 91,441,098,805.85/394,408.70
  6. Step 6: Final answer
    x = 231,843.51

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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.