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Finding the Fourth Proportional to 312,806.20, 431,674.77 and 169,568.50

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Solution

The fourth proportional to 312,806.20, 431,674.77 and 169,568.50 is: 234,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,806.20 : 431,674.77 = 169,568.50 : x
  2. Step 2: Convert to fraction form
    312,806.20/431,674.77 = 169,568.50/x
  3. Step 3: Cross multiply
    312,806.20x = 431,674.77 × 169,568.50
  4. Step 4: Simplify right side
    312,806.20x = 73,198,443,236.75
  5. Step 5: Solve for x
    x = 73,198,443,236.75/312,806.20
  6. Step 6: Final answer
    x = 234,005.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.