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Finding the Fourth Proportional to 396,707.80, 547,456.14 and 217,859.80

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Solution

The fourth proportional to 396,707.80, 547,456.14 and 217,859.80 is: 300,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,707.80 : 547,456.14 = 217,859.80 : x
  2. Step 2: Convert to fraction form
    396,707.80/547,456.14 = 217,859.80/x
  3. Step 3: Cross multiply
    396,707.80x = 547,456.14 × 217,859.80
  4. Step 4: Simplify right side
    396,707.80x = 119,268,685,169.17
  5. Step 5: Solve for x
    x = 119,268,685,169.17/396,707.80
  6. Step 6: Final answer
    x = 300,646.18

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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.