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Finding the Fourth Proportional to 665,956, 998,934.96 and 271,972

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Solution

The fourth proportional to 665,956, 998,934.96 and 271,972 is: 407,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,956 : 998,934.96 = 271,972 : x
  2. Step 2: Convert to fraction form
    665,956/998,934.96 = 271,972/x
  3. Step 3: Cross multiply
    665,956x = 998,934.96 × 271,972
  4. Step 4: Simplify right side
    665,956x = 271,682,338,941.12
  5. Step 5: Solve for x
    x = 271,682,338,941.12/665,956
  6. Step 6: Final answer
    x = 407,958.39

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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.