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Finding the Fourth Proportional to 393,105.96, 589,761 and 112,645.08

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Solution

The fourth proportional to 393,105.96, 589,761 and 112,645.08 is: 168,996.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,105.96 : 589,761 = 112,645.08 : x
  2. Step 2: Convert to fraction form
    393,105.96/589,761 = 112,645.08/x
  3. Step 3: Cross multiply
    393,105.96x = 589,761 × 112,645.08
  4. Step 4: Simplify right side
    393,105.96x = 66,433,675,025.88
  5. Step 5: Solve for x
    x = 66,433,675,025.88/393,105.96
  6. Step 6: Final answer
    x = 168,996.87

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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.