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Finding the Fourth Proportional to 665,962, 998,943.96 and 271,978

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Solution

The fourth proportional to 665,962, 998,943.96 and 271,978 is: 407,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,962 : 998,943.96 = 271,978 : x
  2. Step 2: Convert to fraction form
    665,962/998,943.96 = 271,978/x
  3. Step 3: Cross multiply
    665,962x = 998,943.96 × 271,978
  4. Step 4: Simplify right side
    665,962x = 271,690,780,352.88
  5. Step 5: Solve for x
    x = 271,690,780,352.88/665,962
  6. Step 6: Final answer
    x = 407,967.39

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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.