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Finding the Fourth Proportional to 665,966, 998,949.96 and 271,982

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Solution

The fourth proportional to 665,966, 998,949.96 and 271,982 is: 407,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,966 : 998,949.96 = 271,982 : x
  2. Step 2: Convert to fraction form
    665,966/998,949.96 = 271,982/x
  3. Step 3: Cross multiply
    665,966x = 998,949.96 × 271,982
  4. Step 4: Simplify right side
    665,966x = 271,696,408,020.72
  5. Step 5: Solve for x
    x = 271,696,408,020.72/665,966
  6. Step 6: Final answer
    x = 407,973.39

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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.