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Finding the Fourth Proportional to 311,296.50, 429,426.70 and 196,533.88

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Solution

The fourth proportional to 311,296.50, 429,426.70 and 196,533.88 is: 271,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,296.50 : 429,426.70 = 196,533.88 : x
  2. Step 2: Convert to fraction form
    311,296.50/429,426.70 = 196,533.88/x
  3. Step 3: Cross multiply
    311,296.50x = 429,426.70 × 196,533.88
  4. Step 4: Simplify right side
    311,296.50x = 84,396,893,961.69
  5. Step 5: Solve for x
    x = 84,396,893,961.69/311,296.50
  6. Step 6: Final answer
    x = 271,114.18

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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.