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Finding the Fourth Proportional to 311,940.51, 430,279.72 and 204,517.50

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Solution

The fourth proportional to 311,940.51, 430,279.72 and 204,517.50 is: 282,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,940.51 : 430,279.72 = 204,517.50 : x
  2. Step 2: Convert to fraction form
    311,940.51/430,279.72 = 204,517.50/x
  3. Step 3: Cross multiply
    311,940.51x = 430,279.72 × 204,517.50
  4. Step 4: Simplify right side
    311,940.51x = 87,999,732,635.10
  5. Step 5: Solve for x
    x = 87,999,732,635.10/311,940.51
  6. Step 6: Final answer
    x = 282,104.21

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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.