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Finding the Fourth Proportional to 414,249.39, 620,865.27 and 214,455.87

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Solution

The fourth proportional to 414,249.39, 620,865.27 and 214,455.87 is: 321,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,249.39 : 620,865.27 = 214,455.87 : x
  2. Step 2: Convert to fraction form
    414,249.39/620,865.27 = 214,455.87/x
  3. Step 3: Cross multiply
    414,249.39x = 620,865.27 × 214,455.87
  4. Step 4: Simplify right side
    414,249.39x = 133,148,201,630.64
  5. Step 5: Solve for x
    x = 133,148,201,630.64/414,249.39
  6. Step 6: Final answer
    x = 321,420.39

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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.