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Finding the Fourth Proportional to 271,333, 407,000.22 and 84,344.68

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Solution

The fourth proportional to 271,333, 407,000.22 and 84,344.68 is: 126,517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,333 : 407,000.22 = 84,344.68 : x
  2. Step 2: Convert to fraction form
    271,333/407,000.22 = 84,344.68/x
  3. Step 3: Cross multiply
    271,333x = 407,000.22 × 84,344.68
  4. Step 4: Simplify right side
    271,333x = 34,328,303,315.83
  5. Step 5: Solve for x
    x = 34,328,303,315.83/271,333
  6. Step 6: Final answer
    x = 126,517.24

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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.