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Finding the Fourth Proportional to 312,619.80, 431,414.46 and 169,379.94

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Solution

The fourth proportional to 312,619.80, 431,414.46 and 169,379.94 is: 233,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,619.80 : 431,414.46 = 169,379.94 : x
  2. Step 2: Convert to fraction form
    312,619.80/431,414.46 = 169,379.94/x
  3. Step 3: Cross multiply
    312,619.80x = 431,414.46 × 169,379.94
  4. Step 4: Simplify right side
    312,619.80x = 73,072,955,349.93
  5. Step 5: Solve for x
    x = 73,072,955,349.93/312,619.80
  6. Step 6: Final answer
    x = 233,743.85

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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.