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Finding the Fourth Proportional to 312,689.83, 431,388.70 and 203,920.88

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Solution

The fourth proportional to 312,689.83, 431,388.70 and 203,920.88 is: 281,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,689.83 : 431,388.70 = 203,920.88 : x
  2. Step 2: Convert to fraction form
    312,689.83/431,388.70 = 203,920.88/x
  3. Step 3: Cross multiply
    312,689.83x = 431,388.70 × 203,920.88
  4. Step 4: Simplify right side
    312,689.83x = 87,969,161,760.92
  5. Step 5: Solve for x
    x = 87,969,161,760.92/312,689.83
  6. Step 6: Final answer
    x = 281,330.42

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1.5x scale

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.