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Finding the Fourth Proportional to 312,836.77, 431,715.18 and 169,596.78

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Solution

The fourth proportional to 312,836.77, 431,715.18 and 169,596.78 is: 234,043.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,836.77 : 431,715.18 = 169,596.78 : x
  2. Step 2: Convert to fraction form
    312,836.77/431,715.18 = 169,596.78/x
  3. Step 3: Cross multiply
    312,836.77x = 431,715.18 × 169,596.78
  4. Step 4: Simplify right side
    312,836.77x = 73,217,504,405.12
  5. Step 5: Solve for x
    x = 73,217,504,405.12/312,836.77
  6. Step 6: Final answer
    x = 234,043.79

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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.