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Finding the Fourth Proportional to 312,753.72, 431,640.10 and 174,940.30

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Solution

The fourth proportional to 312,753.72, 431,640.10 and 174,940.30 is: 241,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,753.72 : 431,640.10 = 174,940.30 : x
  2. Step 2: Convert to fraction form
    312,753.72/431,640.10 = 174,940.30/x
  3. Step 3: Cross multiply
    312,753.72x = 431,640.10 × 174,940.30
  4. Step 4: Simplify right side
    312,753.72x = 75,511,248,586.03
  5. Step 5: Solve for x
    x = 75,511,248,586.03/312,753.72
  6. Step 6: Final answer
    x = 241,439.97

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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.