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Finding the Fourth Proportional to 271,059.20, 406,977.60 and 211,961.60

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Solution

The fourth proportional to 271,059.20, 406,977.60 and 211,961.60 is: 318,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,059.20 : 406,977.60 = 211,961.60 : x
  2. Step 2: Convert to fraction form
    271,059.20/406,977.60 = 211,961.60/x
  3. Step 3: Cross multiply
    271,059.20x = 406,977.60 × 211,961.60
  4. Step 4: Simplify right side
    271,059.20x = 86,263,623,260.16
  5. Step 5: Solve for x
    x = 86,263,623,260.16/271,059.20
  6. Step 6: Final answer
    x = 318,246.43

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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.