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Finding the Fourth Proportional to 312,474.68, 431,212.91 and 169,231.44

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Solution

The fourth proportional to 312,474.68, 431,212.91 and 169,231.44 is: 233,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,474.68 : 431,212.91 = 169,231.44 : x
  2. Step 2: Convert to fraction form
    312,474.68/431,212.91 = 169,231.44/x
  3. Step 3: Cross multiply
    312,474.68x = 431,212.91 × 169,231.44
  4. Step 4: Simplify right side
    312,474.68x = 72,974,780,859.73
  5. Step 5: Solve for x
    x = 72,974,780,859.73/312,474.68
  6. Step 6: Final answer
    x = 233,538.22

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1.5x scale

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.