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Finding the Fourth Proportional to 392,780.56, 589,205.02 and 108,471.48

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Solution

The fourth proportional to 392,780.56, 589,205.02 and 108,471.48 is: 162,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,780.56 : 589,205.02 = 108,471.48 : x
  2. Step 2: Convert to fraction form
    392,780.56/589,205.02 = 108,471.48/x
  3. Step 3: Cross multiply
    392,780.56x = 589,205.02 × 108,471.48
  4. Step 4: Simplify right side
    392,780.56x = 63,911,940,542.83
  5. Step 5: Solve for x
    x = 63,911,940,542.83/392,780.56
  6. Step 6: Final answer
    x = 162,716.66

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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.