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Finding the Fourth Proportional to 665,920, 998,880.96 and 271,936

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Solution

The fourth proportional to 665,920, 998,880.96 and 271,936 is: 407,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,920 : 998,880.96 = 271,936 : x
  2. Step 2: Convert to fraction form
    665,920/998,880.96 = 271,936/x
  3. Step 3: Cross multiply
    665,920x = 998,880.96 × 271,936
  4. Step 4: Simplify right side
    665,920x = 271,631,692,738.56
  5. Step 5: Solve for x
    x = 271,631,692,738.56/665,920
  6. Step 6: Final answer
    x = 407,904.39

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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.