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Finding the Fourth Proportional to 311,363.60, 429,508.92 and 204,106.64

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Solution

The fourth proportional to 311,363.60, 429,508.92 and 204,106.64 is: 281,553.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,363.60 : 429,508.92 = 204,106.64 : x
  2. Step 2: Convert to fraction form
    311,363.60/429,508.92 = 204,106.64/x
  3. Step 3: Cross multiply
    311,363.60x = 429,508.92 × 204,106.64
  4. Step 4: Simplify right side
    311,363.60x = 87,665,622,511.23
  5. Step 5: Solve for x
    x = 87,665,622,511.23/311,363.60
  6. Step 6: Final answer
    x = 281,553.86

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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.