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Finding the Fourth Proportional to 311,794.50, 430,393.41 and 204,371.46

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Solution

The fourth proportional to 311,794.50, 430,393.41 and 204,371.46 is: 282,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,794.50 : 430,393.41 = 204,371.46 : x
  2. Step 2: Convert to fraction form
    311,794.50/430,393.41 = 204,371.46/x
  3. Step 3: Cross multiply
    311,794.50x = 430,393.41 × 204,371.46
  4. Step 4: Simplify right side
    311,794.50x = 87,960,129,576.08
  5. Step 5: Solve for x
    x = 87,960,129,576.08/311,794.50
  6. Step 6: Final answer
    x = 282,109.30

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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.