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Finding the Fourth Proportional to 271,275.78, 406,964.70 and 109,182.22

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Solution

The fourth proportional to 271,275.78, 406,964.70 and 109,182.22 is: 163,793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,275.78 : 406,964.70 = 109,182.22 : x
  2. Step 2: Convert to fraction form
    271,275.78/406,964.70 = 109,182.22/x
  3. Step 3: Cross multiply
    271,275.78x = 406,964.70 × 109,182.22
  4. Step 4: Simplify right side
    271,275.78x = 44,433,309,407.63
  5. Step 5: Solve for x
    x = 44,433,309,407.63/271,275.78
  6. Step 6: Final answer
    x = 163,793.87

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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.