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Finding the Fourth Proportional to 304,295.32, 419,786.04 and 196,900

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Solution

The fourth proportional to 304,295.32, 419,786.04 and 196,900 is: 271,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,295.32 : 419,786.04 = 196,900 : x
  2. Step 2: Convert to fraction form
    304,295.32/419,786.04 = 196,900/x
  3. Step 3: Cross multiply
    304,295.32x = 419,786.04 × 196,900
  4. Step 4: Simplify right side
    304,295.32x = 82,655,871,276
  5. Step 5: Solve for x
    x = 82,655,871,276/304,295.32
  6. Step 6: Final answer
    x = 271,630.44

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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.