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Finding the Fourth Proportional to 414,235.80, 620,845.11 and 214,442.37

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Solution

The fourth proportional to 414,235.80, 620,845.11 and 214,442.37 is: 321,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,235.80 : 620,845.11 = 214,442.37 : x
  2. Step 2: Convert to fraction form
    414,235.80/620,845.11 = 214,442.37/x
  3. Step 3: Cross multiply
    414,235.80x = 620,845.11 × 214,442.37
  4. Step 4: Simplify right side
    414,235.80x = 133,135,496,791.31
  5. Step 5: Solve for x
    x = 133,135,496,791.31/414,235.80
  6. Step 6: Final answer
    x = 321,400.27

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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.