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Finding the Fourth Proportional to 394,355.20, 591,921.60 and 194,900.80

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Solution

The fourth proportional to 394,355.20, 591,921.60 and 194,900.80 is: 292,543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,355.20 : 591,921.60 = 194,900.80 : x
  2. Step 2: Convert to fraction form
    394,355.20/591,921.60 = 194,900.80/x
  3. Step 3: Cross multiply
    394,355.20x = 591,921.60 × 194,900.80
  4. Step 4: Simplify right side
    394,355.20x = 115,365,993,377.28
  5. Step 5: Solve for x
    x = 115,365,993,377.28/394,355.20
  6. Step 6: Final answer
    x = 292,543.36

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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.