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Finding the Fourth Proportional to 271,138.80, 406,823.40 and 130,825.20

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Solution

The fourth proportional to 271,138.80, 406,823.40 and 130,825.20 is: 196,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,138.80 : 406,823.40 = 130,825.20 : x
  2. Step 2: Convert to fraction form
    271,138.80/406,823.40 = 130,825.20/x
  3. Step 3: Cross multiply
    271,138.80x = 406,823.40 × 130,825.20
  4. Step 4: Simplify right side
    271,138.80x = 53,222,752,669.68
  5. Step 5: Solve for x
    x = 53,222,752,669.68/271,138.80
  6. Step 6: Final answer
    x = 196,293.38

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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.