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Finding the Fourth Proportional to 392,220.30, 587,813.46 and 155,433.78

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Solution

The fourth proportional to 392,220.30, 587,813.46 and 155,433.78 is: 232,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,220.30 : 587,813.46 = 155,433.78 : x
  2. Step 2: Convert to fraction form
    392,220.30/587,813.46 = 155,433.78/x
  3. Step 3: Cross multiply
    392,220.30x = 587,813.46 × 155,433.78
  4. Step 4: Simplify right side
    392,220.30x = 91,366,068,022.68
  5. Step 5: Solve for x
    x = 91,366,068,022.68/392,220.30
  6. Step 6: Final answer
    x = 232,945.79

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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.