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Finding the Fourth Proportional to 394,738.80, 591,816.60 and 169,915.20

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Solution

The fourth proportional to 394,738.80, 591,816.60 and 169,915.20 is: 254,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,738.80 : 591,816.60 = 169,915.20 : x
  2. Step 2: Convert to fraction form
    394,738.80/591,816.60 = 169,915.20/x
  3. Step 3: Cross multiply
    394,738.80x = 591,816.60 × 169,915.20
  4. Step 4: Simplify right side
    394,738.80x = 100,558,635,952.32
  5. Step 5: Solve for x
    x = 100,558,635,952.32/394,738.80
  6. Step 6: Final answer
    x = 254,747.28

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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.