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Finding the Fourth Proportional to 271,278.40, 406,629.60 and 130,945.60

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Solution

The fourth proportional to 271,278.40, 406,629.60 and 130,945.60 is: 196,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,278.40 : 406,629.60 = 130,945.60 : x
  2. Step 2: Convert to fraction form
    271,278.40/406,629.60 = 130,945.60/x
  3. Step 3: Cross multiply
    271,278.40x = 406,629.60 × 130,945.60
  4. Step 4: Simplify right side
    271,278.40x = 53,246,356,949.76
  5. Step 5: Solve for x
    x = 53,246,356,949.76/271,278.40
  6. Step 6: Final answer
    x = 196,279.38

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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.