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Finding the Fourth Proportional to 312,606.92, 431,348.82 and 185,261.96

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Solution

The fourth proportional to 312,606.92, 431,348.82 and 185,261.96 is: 255,632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,606.92 : 431,348.82 = 185,261.96 : x
  2. Step 2: Convert to fraction form
    312,606.92/431,348.82 = 185,261.96/x
  3. Step 3: Cross multiply
    312,606.92x = 431,348.82 × 185,261.96
  4. Step 4: Simplify right side
    312,606.92x = 79,912,527,836.89
  5. Step 5: Solve for x
    x = 79,912,527,836.89/312,606.92
  6. Step 6: Final answer
    x = 255,632.63

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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.