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Finding the Fourth Proportional to 271,491.60, 406,978.20 and 211,486.80

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Solution

The fourth proportional to 271,491.60, 406,978.20 and 211,486.80 is: 317,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,491.60 : 406,978.20 = 211,486.80 : x
  2. Step 2: Convert to fraction form
    271,491.60/406,978.20 = 211,486.80/x
  3. Step 3: Cross multiply
    271,491.60x = 406,978.20 × 211,486.80
  4. Step 4: Simplify right side
    271,491.60x = 86,070,517,187.76
  5. Step 5: Solve for x
    x = 86,070,517,187.76/271,491.60
  6. Step 6: Final answer
    x = 317,028.29

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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.