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Finding the Fourth Proportional to 311,387.84, 467,116.26 and 133,912.88

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Solution

The fourth proportional to 311,387.84, 467,116.26 and 133,912.88 is: 200,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,387.84 : 467,116.26 = 133,912.88 : x
  2. Step 2: Convert to fraction form
    311,387.84/467,116.26 = 133,912.88/x
  3. Step 3: Cross multiply
    311,387.84x = 467,116.26 × 133,912.88
  4. Step 4: Simplify right side
    311,387.84x = 62,552,883,671.43
  5. Step 5: Solve for x
    x = 62,552,883,671.43/311,387.84
  6. Step 6: Final answer
    x = 200,884.16

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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.