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Finding the Fourth Proportional to 312,819.52, 431,680.44 and 185,419.48

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Solution

The fourth proportional to 312,819.52, 431,680.44 and 185,419.48 is: 255,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,819.52 : 431,680.44 = 185,419.48 : x
  2. Step 2: Convert to fraction form
    312,819.52/431,680.44 = 185,419.48/x
  3. Step 3: Cross multiply
    312,819.52x = 431,680.44 × 185,419.48
  4. Step 4: Simplify right side
    312,819.52x = 80,041,962,710.97
  5. Step 5: Solve for x
    x = 80,041,962,710.97/312,819.52
  6. Step 6: Final answer
    x = 255,872.66

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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.