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Finding the Fourth Proportional to 312,221.44, 430,872.32 and 176,229.44

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Solution

The fourth proportional to 312,221.44, 430,872.32 and 176,229.44 is: 243,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,221.44 : 430,872.32 = 176,229.44 : x
  2. Step 2: Convert to fraction form
    312,221.44/430,872.32 = 176,229.44/x
  3. Step 3: Cross multiply
    312,221.44x = 430,872.32 × 176,229.44
  4. Step 4: Simplify right side
    312,221.44x = 75,932,387,665.10
  5. Step 5: Solve for x
    x = 75,932,387,665.10/312,221.44
  6. Step 6: Final answer
    x = 243,200.43

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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.