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Finding the Fourth Proportional to 396,275.49, 546,911.77 and 221,912.11

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Solution

The fourth proportional to 396,275.49, 546,911.77 and 221,912.11 is: 306,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,275.49 : 546,911.77 = 221,912.11 : x
  2. Step 2: Convert to fraction form
    396,275.49/546,911.77 = 221,912.11/x
  3. Step 3: Cross multiply
    396,275.49x = 546,911.77 × 221,912.11
  4. Step 4: Simplify right side
    396,275.49x = 121,366,341,020.42
  5. Step 5: Solve for x
    x = 121,366,341,020.42/396,275.49
  6. Step 6: Final answer
    x = 306,267.59

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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.