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Finding the Fourth Proportional to 271,818.20, 406,415.10 and 200,959.40

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Solution

The fourth proportional to 271,818.20, 406,415.10 and 200,959.40 is: 300,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,818.20 : 406,415.10 = 200,959.40 : x
  2. Step 2: Convert to fraction form
    271,818.20/406,415.10 = 200,959.40/x
  3. Step 3: Cross multiply
    271,818.20x = 406,415.10 × 200,959.40
  4. Step 4: Simplify right side
    271,818.20x = 81,672,934,646.94
  5. Step 5: Solve for x
    x = 81,672,934,646.94/271,818.20
  6. Step 6: Final answer
    x = 300,468.97

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1.5x scale

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.