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Finding the Fourth Proportional to 414,188.59, 621,744.09 and 214,455.34

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Solution

The fourth proportional to 414,188.59, 621,744.09 and 214,455.34 is: 321,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,188.59 : 621,744.09 = 214,455.34 : x
  2. Step 2: Convert to fraction form
    414,188.59/621,744.09 = 214,455.34/x
  3. Step 3: Cross multiply
    414,188.59x = 621,744.09 × 214,455.34
  4. Step 4: Simplify right side
    414,188.59x = 133,336,340,213.94
  5. Step 5: Solve for x
    x = 133,336,340,213.94/414,188.59
  6. Step 6: Final answer
    x = 321,921.81

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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.