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Finding the Fourth Proportional to 503,286.62, 694,306.69 and 299,221.76

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Solution

The fourth proportional to 503,286.62, 694,306.69 and 299,221.76 is: 412,789.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,286.62 : 694,306.69 = 299,221.76 : x
  2. Step 2: Convert to fraction form
    503,286.62/694,306.69 = 299,221.76/x
  3. Step 3: Cross multiply
    503,286.62x = 694,306.69 × 299,221.76
  4. Step 4: Simplify right side
    503,286.62x = 207,751,670,749.29
  5. Step 5: Solve for x
    x = 207,751,670,749.29/503,286.62
  6. Step 6: Final answer
    x = 412,789.98

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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.