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Finding the Fourth Proportional to 665,960, 998,940.96 and 271,976

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Solution

The fourth proportional to 665,960, 998,940.96 and 271,976 is: 407,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,960 : 998,940.96 = 271,976 : x
  2. Step 2: Convert to fraction form
    665,960/998,940.96 = 271,976/x
  3. Step 3: Cross multiply
    665,960x = 998,940.96 × 271,976
  4. Step 4: Simplify right side
    665,960x = 271,687,966,536.96
  5. Step 5: Solve for x
    x = 271,687,966,536.96/665,960
  6. Step 6: Final answer
    x = 407,964.39

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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.