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Finding the Fourth Proportional to 271,803.20, 407,769.60 and 131,446.40

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Solution

The fourth proportional to 271,803.20, 407,769.60 and 131,446.40 is: 197,200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,803.20 : 407,769.60 = 131,446.40 : x
  2. Step 2: Convert to fraction form
    271,803.20/407,769.60 = 131,446.40/x
  3. Step 3: Cross multiply
    271,803.20x = 407,769.60 × 131,446.40
  4. Step 4: Simplify right side
    271,803.20x = 53,599,845,949.44
  5. Step 5: Solve for x
    x = 53,599,845,949.44/271,803.20
  6. Step 6: Final answer
    x = 197,200.94

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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.