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Finding the Fourth Proportional to 665,950, 998,925.96 and 271,966

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Solution

The fourth proportional to 665,950, 998,925.96 and 271,966 is: 407,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,950 : 998,925.96 = 271,966 : x
  2. Step 2: Convert to fraction form
    665,950/998,925.96 = 271,966/x
  3. Step 3: Cross multiply
    665,950x = 998,925.96 × 271,966
  4. Step 4: Simplify right side
    665,950x = 271,673,897,637.36
  5. Step 5: Solve for x
    x = 271,673,897,637.36/665,950
  6. Step 6: Final answer
    x = 407,949.39

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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.