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Finding the Fourth Proportional to 394,523.60, 591,396.60 and 194,874.80

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Solution

The fourth proportional to 394,523.60, 591,396.60 and 194,874.80 is: 292,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,523.60 : 591,396.60 = 194,874.80 : x
  2. Step 2: Convert to fraction form
    394,523.60/591,396.60 = 194,874.80/x
  3. Step 3: Cross multiply
    394,523.60x = 591,396.60 × 194,874.80
  4. Step 4: Simplify right side
    394,523.60x = 115,248,294,145.68
  5. Step 5: Solve for x
    x = 115,248,294,145.68/394,523.60
  6. Step 6: Final answer
    x = 292,120.15

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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.