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Finding the Fourth Proportional to 394,452, 591,678 and 131,796

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Solution

The fourth proportional to 394,452, 591,678 and 131,796 is: 197,694

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,452 : 591,678 = 131,796 : x
  2. Step 2: Convert to fraction form
    394,452/591,678 = 131,796/x
  3. Step 3: Cross multiply
    394,452x = 591,678 × 131,796
  4. Step 4: Simplify right side
    394,452x = 77,980,793,688
  5. Step 5: Solve for x
    x = 77,980,793,688/394,452
  6. Step 6: Final answer
    x = 197,694

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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.