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Finding the Fourth Proportional to 394,665.40, 591,998.10 and 269,327.80

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Solution

The fourth proportional to 394,665.40, 591,998.10 and 269,327.80 is: 403,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,665.40 : 591,998.10 = 269,327.80 : x
  2. Step 2: Convert to fraction form
    394,665.40/591,998.10 = 269,327.80/x
  3. Step 3: Cross multiply
    394,665.40x = 591,998.10 × 269,327.80
  4. Step 4: Simplify right side
    394,665.40x = 159,441,545,877.18
  5. Step 5: Solve for x
    x = 159,441,545,877.18/394,665.40
  6. Step 6: Final answer
    x = 403,991.70

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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.