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Finding the Fourth Proportional to 312,425.91, 431,145.79 and 169,185.71

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Solution

The fourth proportional to 312,425.91, 431,145.79 and 169,185.71 is: 233,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,425.91 : 431,145.79 = 169,185.71 : x
  2. Step 2: Convert to fraction form
    312,425.91/431,145.79 = 169,185.71/x
  3. Step 3: Cross multiply
    312,425.91x = 431,145.79 × 169,185.71
  4. Step 4: Simplify right side
    312,425.91x = 72,943,707,249.56
  5. Step 5: Solve for x
    x = 72,943,707,249.56/312,425.91
  6. Step 6: Final answer
    x = 233,475.22

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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.