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Finding the Fourth Proportional to 312,831, 431,704.22 and 169,587.36

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Solution

The fourth proportional to 312,831, 431,704.22 and 169,587.36 is: 234,029.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,831 : 431,704.22 = 169,587.36 : x
  2. Step 2: Convert to fraction form
    312,831/431,704.22 = 169,587.36/x
  3. Step 3: Cross multiply
    312,831x = 431,704.22 × 169,587.36
  4. Step 4: Simplify right side
    312,831x = 73,211,578,122.72
  5. Step 5: Solve for x
    x = 73,211,578,122.72/312,831
  6. Step 6: Final answer
    x = 234,029.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.