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Finding the Fourth Proportional to 665,949, 998,924.46 and 271,965

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Solution

The fourth proportional to 665,949, 998,924.46 and 271,965 is: 407,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,949 : 998,924.46 = 271,965 : x
  2. Step 2: Convert to fraction form
    665,949/998,924.46 = 271,965/x
  3. Step 3: Cross multiply
    665,949x = 998,924.46 × 271,965
  4. Step 4: Simplify right side
    665,949x = 271,672,490,763.90
  5. Step 5: Solve for x
    x = 271,672,490,763.90/665,949
  6. Step 6: Final answer
    x = 407,947.89

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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.