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Finding the Fourth Proportional to 311,908.05, 430,234.90 and 204,485.04

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Solution

The fourth proportional to 311,908.05, 430,234.90 and 204,485.04 is: 282,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,908.05 : 430,234.90 = 204,485.04 : x
  2. Step 2: Convert to fraction form
    311,908.05/430,234.90 = 204,485.04/x
  3. Step 3: Cross multiply
    311,908.05x = 430,234.90 × 204,485.04
  4. Step 4: Simplify right side
    311,908.05x = 87,976,600,224.68
  5. Step 5: Solve for x
    x = 87,976,600,224.68/311,908.05
  6. Step 6: Final answer
    x = 282,059.41

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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.