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Finding the Fourth Proportional to 392,893.20, 589,231.96 and 108,515.76

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Solution

The fourth proportional to 392,893.20, 589,231.96 and 108,515.76 is: 162,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,893.20 : 589,231.96 = 108,515.76 : x
  2. Step 2: Convert to fraction form
    392,893.20/589,231.96 = 108,515.76/x
  3. Step 3: Cross multiply
    392,893.20x = 589,231.96 × 108,515.76
  4. Step 4: Simplify right side
    392,893.20x = 63,940,953,955.69
  5. Step 5: Solve for x
    x = 63,940,953,955.69/392,893.20
  6. Step 6: Final answer
    x = 162,743.85

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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.