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Finding the Fourth Proportional to 414,183.72, 620,463.63 and 214,635

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Solution

The fourth proportional to 414,183.72, 620,463.63 and 214,635 is: 321,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,183.72 : 620,463.63 = 214,635 : x
  2. Step 2: Convert to fraction form
    414,183.72/620,463.63 = 214,635/x
  3. Step 3: Cross multiply
    414,183.72x = 620,463.63 × 214,635
  4. Step 4: Simplify right side
    414,183.72x = 133,173,211,225.05
  5. Step 5: Solve for x
    x = 133,173,211,225.05/414,183.72
  6. Step 6: Final answer
    x = 321,531.74

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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.