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Finding the Fourth Proportional to 394,105.28, 591,393.44 and 144,812.48

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Solution

The fourth proportional to 394,105.28, 591,393.44 and 144,812.48 is: 217,305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,105.28 : 591,393.44 = 144,812.48 : x
  2. Step 2: Convert to fraction form
    394,105.28/591,393.44 = 144,812.48/x
  3. Step 3: Cross multiply
    394,105.28x = 591,393.44 × 144,812.48
  4. Step 4: Simplify right side
    394,105.28x = 85,641,150,702.13
  5. Step 5: Solve for x
    x = 85,641,150,702.13/394,105.28
  6. Step 6: Final answer
    x = 217,305.26

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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.