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Finding the Fourth Proportional to 396,684.74, 594,763.16 and 204,678.90

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Solution

The fourth proportional to 396,684.74, 594,763.16 and 204,678.90 is: 306,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,684.74 : 594,763.16 = 204,678.90 : x
  2. Step 2: Convert to fraction form
    396,684.74/594,763.16 = 204,678.90/x
  3. Step 3: Cross multiply
    396,684.74x = 594,763.16 × 204,678.90
  4. Step 4: Simplify right side
    396,684.74x = 121,735,468,325.93
  5. Step 5: Solve for x
    x = 121,735,468,325.93/396,684.74
  6. Step 6: Final answer
    x = 306,882.15

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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.