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Finding the Fourth Proportional to 378,082.90, 521,766.22 and 216,967.42

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Solution

The fourth proportional to 378,082.90, 521,766.22 and 216,967.42 is: 299,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,082.90 : 521,766.22 = 216,967.42 : x
  2. Step 2: Convert to fraction form
    378,082.90/521,766.22 = 216,967.42/x
  3. Step 3: Cross multiply
    378,082.90x = 521,766.22 × 216,967.42
  4. Step 4: Simplify right side
    378,082.90x = 113,206,269,511.72
  5. Step 5: Solve for x
    x = 113,206,269,511.72/378,082.90
  6. Step 6: Final answer
    x = 299,421.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.