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Finding the Fourth Proportional to 312,995.96, 431,867.94 and 185,712.92

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Solution

The fourth proportional to 312,995.96, 431,867.94 and 185,712.92 is: 256,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,995.96 : 431,867.94 = 185,712.92 : x
  2. Step 2: Convert to fraction form
    312,995.96/431,867.94 = 185,712.92/x
  3. Step 3: Cross multiply
    312,995.96x = 431,867.94 × 185,712.92
  4. Step 4: Simplify right side
    312,995.96x = 80,203,456,191.78
  5. Step 5: Solve for x
    x = 80,203,456,191.78/312,995.96
  6. Step 6: Final answer
    x = 256,244.38

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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.