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Finding the Fourth Proportional to 312,578.36, 431,357.62 and 169,339

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Solution

The fourth proportional to 312,578.36, 431,357.62 and 169,339 is: 233,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,578.36 : 431,357.62 = 169,339 : x
  2. Step 2: Convert to fraction form
    312,578.36/431,357.62 = 169,339/x
  3. Step 3: Cross multiply
    312,578.36x = 431,357.62 × 169,339
  4. Step 4: Simplify right side
    312,578.36x = 73,045,668,013.18
  5. Step 5: Solve for x
    x = 73,045,668,013.18/312,578.36
  6. Step 6: Final answer
    x = 233,687.54

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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.