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Finding the Fourth Proportional to 414,876.96, 622,353.96 and 321,487.20

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Solution

The fourth proportional to 414,876.96, 622,353.96 and 321,487.20 is: 482,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,876.96 : 622,353.96 = 321,487.20 : x
  2. Step 2: Convert to fraction form
    414,876.96/622,353.96 = 321,487.20/x
  3. Step 3: Cross multiply
    414,876.96x = 622,353.96 × 321,487.20
  4. Step 4: Simplify right side
    414,876.96x = 200,078,832,009.31
  5. Step 5: Solve for x
    x = 200,078,832,009.31/414,876.96
  6. Step 6: Final answer
    x = 482,260.65

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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.