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Finding the Fourth Proportional to 828,892, 1,243,338 and 267,926.50

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Solution

The fourth proportional to 828,892, 1,243,338 and 267,926.50 is: 401,889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,892 : 1,243,338 = 267,926.50 : x
  2. Step 2: Convert to fraction form
    828,892/1,243,338 = 267,926.50/x
  3. Step 3: Cross multiply
    828,892x = 1,243,338 × 267,926.50
  4. Step 4: Simplify right side
    828,892x = 333,123,198,657
  5. Step 5: Solve for x
    x = 333,123,198,657/828,892
  6. Step 6: Final answer
    x = 401,889.75

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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.