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Finding the Fourth Proportional to 414,187.72, 620,469.63 and 214,639

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Solution

The fourth proportional to 414,187.72, 620,469.63 and 214,639 is: 321,537.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,187.72 : 620,469.63 = 214,639 : x
  2. Step 2: Convert to fraction form
    414,187.72/620,469.63 = 214,639/x
  3. Step 3: Cross multiply
    414,187.72x = 620,469.63 × 214,639
  4. Step 4: Simplify right side
    414,187.72x = 133,176,980,913.57
  5. Step 5: Solve for x
    x = 133,176,980,913.57/414,187.72
  6. Step 6: Final answer
    x = 321,537.73

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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.