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Finding the Fourth Proportional to 311,934, 468,108.36 and 114,942

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Solution

The fourth proportional to 311,934, 468,108.36 and 114,942 is: 172,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,934 : 468,108.36 = 114,942 : x
  2. Step 2: Convert to fraction form
    311,934/468,108.36 = 114,942/x
  3. Step 3: Cross multiply
    311,934x = 468,108.36 × 114,942
  4. Step 4: Simplify right side
    311,934x = 53,805,311,115.12
  5. Step 5: Solve for x
    x = 53,805,311,115.12/311,934
  6. Step 6: Final answer
    x = 172,489.41

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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.