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Finding the Fourth Proportional to 312,991.32, 431,922.06 and 169,748.76

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Solution

The fourth proportional to 312,991.32, 431,922.06 and 169,748.76 is: 234,250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,991.32 : 431,922.06 = 169,748.76 : x
  2. Step 2: Convert to fraction form
    312,991.32/431,922.06 = 169,748.76/x
  3. Step 3: Cross multiply
    312,991.32x = 431,922.06 × 169,748.76
  4. Step 4: Simplify right side
    312,991.32x = 73,318,234,101.65
  5. Step 5: Solve for x
    x = 73,318,234,101.65/312,991.32
  6. Step 6: Final answer
    x = 234,250.06

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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.