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Finding the Fourth Proportional to 304,286.72, 419,774.28 and 196,891.39

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Solution

The fourth proportional to 304,286.72, 419,774.28 and 196,891.39 is: 271,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,286.72 : 419,774.28 = 196,891.39 : x
  2. Step 2: Convert to fraction form
    304,286.72/419,774.28 = 196,891.39/x
  3. Step 3: Cross multiply
    304,286.72x = 419,774.28 × 196,891.39
  4. Step 4: Simplify right side
    304,286.72x = 82,649,939,376.58
  5. Step 5: Solve for x
    x = 82,649,939,376.58/304,286.72
  6. Step 6: Final answer
    x = 271,618.62

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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.