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Finding the Fourth Proportional to 312,944.31, 431,863.38 and 169,704.32

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Solution

The fourth proportional to 312,944.31, 431,863.38 and 169,704.32 is: 234,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,944.31 : 431,863.38 = 169,704.32 : x
  2. Step 2: Convert to fraction form
    312,944.31/431,863.38 = 169,704.32/x
  3. Step 3: Cross multiply
    312,944.31x = 431,863.38 × 169,704.32
  4. Step 4: Simplify right side
    312,944.31x = 73,289,079,076.48
  5. Step 5: Solve for x
    x = 73,289,079,076.48/312,944.31
  6. Step 6: Final answer
    x = 234,192.08

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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.