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Finding the Fourth Proportional to 311,796.50, 430,396.17 and 204,373.46

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Solution

The fourth proportional to 311,796.50, 430,396.17 and 204,373.46 is: 282,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,796.50 : 430,396.17 = 204,373.46 : x
  2. Step 2: Convert to fraction form
    311,796.50/430,396.17 = 204,373.46/x
  3. Step 3: Cross multiply
    311,796.50x = 430,396.17 × 204,373.46
  4. Step 4: Simplify right side
    311,796.50x = 87,961,554,433.65
  5. Step 5: Solve for x
    x = 87,961,554,433.65/311,796.50
  6. Step 6: Final answer
    x = 282,112.06

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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.