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Finding the Fourth Proportional to 311,930.92, 467,938.08 and 109,478.98

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Solution

The fourth proportional to 311,930.92, 467,938.08 and 109,478.98 is: 164,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,930.92 : 467,938.08 = 109,478.98 : x
  2. Step 2: Convert to fraction form
    311,930.92/467,938.08 = 109,478.98/x
  3. Step 3: Cross multiply
    311,930.92x = 467,938.08 × 109,478.98
  4. Step 4: Simplify right side
    311,930.92x = 51,229,383,701.56
  5. Step 5: Solve for x
    x = 51,229,383,701.56/311,930.92
  6. Step 6: Final answer
    x = 164,233.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.