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Finding the Fourth Proportional to 311,354.31, 429,505.26 and 196,591.49

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Solution

The fourth proportional to 311,354.31, 429,505.26 and 196,591.49 is: 271,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,354.31 : 429,505.26 = 196,591.49 : x
  2. Step 2: Convert to fraction form
    311,354.31/429,505.26 = 196,591.49/x
  3. Step 3: Cross multiply
    311,354.31x = 429,505.26 × 196,591.49
  4. Step 4: Simplify right side
    311,354.31x = 84,437,079,026.24
  5. Step 5: Solve for x
    x = 84,437,079,026.24/311,354.31
  6. Step 6: Final answer
    x = 271,192.90

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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.