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Finding the Fourth Proportional to 414,885.96, 622,367.46 and 321,496.20

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Solution

The fourth proportional to 414,885.96, 622,367.46 and 321,496.20 is: 482,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,885.96 : 622,367.46 = 321,496.20 : x
  2. Step 2: Convert to fraction form
    414,885.96/622,367.46 = 321,496.20/x
  3. Step 3: Cross multiply
    414,885.96x = 622,367.46 × 321,496.20
  4. Step 4: Simplify right side
    414,885.96x = 200,088,773,393.65
  5. Step 5: Solve for x
    x = 200,088,773,393.65/414,885.96
  6. Step 6: Final answer
    x = 482,274.15

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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.