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Finding the Fourth Proportional to 271,162.60, 406,628.70 and 130,964.20

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Solution

The fourth proportional to 271,162.60, 406,628.70 and 130,964.20 is: 196,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,162.60 : 406,628.70 = 130,964.20 : x
  2. Step 2: Convert to fraction form
    271,162.60/406,628.70 = 130,964.20/x
  3. Step 3: Cross multiply
    271,162.60x = 406,628.70 × 130,964.20
  4. Step 4: Simplify right side
    271,162.60x = 53,253,802,392.54
  5. Step 5: Solve for x
    x = 53,253,802,392.54/271,162.60
  6. Step 6: Final answer
    x = 196,390.66

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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.