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Finding the Fourth Proportional to 271,505.73, 406,717.31 and 212,063.07

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Solution

The fourth proportional to 271,505.73, 406,717.31 and 212,063.07 is: 317,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,505.73 : 406,717.31 = 212,063.07 : x
  2. Step 2: Convert to fraction form
    271,505.73/406,717.31 = 212,063.07/x
  3. Step 3: Cross multiply
    271,505.73x = 406,717.31 × 212,063.07
  4. Step 4: Simplify right side
    271,505.73x = 86,249,721,380.74
  5. Step 5: Solve for x
    x = 86,249,721,380.74/271,505.73
  6. Step 6: Final answer
    x = 317,671.83

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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.