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Finding the Fourth Proportional to 312,889.56, 431,665.44 and 204,121.77

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Solution

The fourth proportional to 312,889.56, 431,665.44 and 204,121.77 is: 281,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,889.56 : 431,665.44 = 204,121.77 : x
  2. Step 2: Convert to fraction form
    312,889.56/431,665.44 = 204,121.77/x
  3. Step 3: Cross multiply
    312,889.56x = 431,665.44 × 204,121.77
  4. Step 4: Simplify right side
    312,889.56x = 88,112,313,660.63
  5. Step 5: Solve for x
    x = 88,112,313,660.63/312,889.56
  6. Step 6: Final answer
    x = 281,608.35

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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.