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Finding the Fourth Proportional to 414,479.88, 620,906.26 and 214,930.72

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Solution

The fourth proportional to 414,479.88, 620,906.26 and 214,930.72 is: 321,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,479.88 : 620,906.26 = 214,930.72 : x
  2. Step 2: Convert to fraction form
    414,479.88/620,906.26 = 214,930.72/x
  3. Step 3: Cross multiply
    414,479.88x = 620,906.26 × 214,930.72
  4. Step 4: Simplify right side
    414,479.88x = 133,451,829,514.31
  5. Step 5: Solve for x
    x = 133,451,829,514.31/414,479.88
  6. Step 6: Final answer
    x = 321,974.20

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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.