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Finding the Fourth Proportional to 394,223.10, 591,010.65 and 169,755.90

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Solution

The fourth proportional to 394,223.10, 591,010.65 and 169,755.90 is: 254,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,223.10 : 591,010.65 = 169,755.90 : x
  2. Step 2: Convert to fraction form
    394,223.10/591,010.65 = 169,755.90/x
  3. Step 3: Cross multiply
    394,223.10x = 591,010.65 × 169,755.90
  4. Step 4: Simplify right side
    394,223.10x = 100,327,544,800.34
  5. Step 5: Solve for x
    x = 100,327,544,800.34/394,223.10
  6. Step 6: Final answer
    x = 254,494.33

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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.