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Finding the Fourth Proportional to 312,993, 431,930.34 and 178,857

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Solution

The fourth proportional to 312,993, 431,930.34 and 178,857 is: 246,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,993 : 431,930.34 = 178,857 : x
  2. Step 2: Convert to fraction form
    312,993/431,930.34 = 178,857/x
  3. Step 3: Cross multiply
    312,993x = 431,930.34 × 178,857
  4. Step 4: Simplify right side
    312,993x = 77,253,764,821.38
  5. Step 5: Solve for x
    x = 77,253,764,821.38/312,993
  6. Step 6: Final answer
    x = 246,822.66

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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.