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Finding the Fourth Proportional to 414,251.52, 620,868.46 and 214,458

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Solution

The fourth proportional to 414,251.52, 620,868.46 and 214,458 is: 321,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,251.52 : 620,868.46 = 214,458 : x
  2. Step 2: Convert to fraction form
    414,251.52/620,868.46 = 214,458/x
  3. Step 3: Cross multiply
    414,251.52x = 620,868.46 × 214,458
  4. Step 4: Simplify right side
    414,251.52x = 133,150,208,194.68
  5. Step 5: Solve for x
    x = 133,150,208,194.68/414,251.52
  6. Step 6: Final answer
    x = 321,423.58

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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.