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Finding the Fourth Proportional to 414,188.72, 620,471.13 and 214,640

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Solution

The fourth proportional to 414,188.72, 620,471.13 and 214,640 is: 321,539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,188.72 : 620,471.13 = 214,640 : x
  2. Step 2: Convert to fraction form
    414,188.72/620,471.13 = 214,640/x
  3. Step 3: Cross multiply
    414,188.72x = 620,471.13 × 214,640
  4. Step 4: Simplify right side
    414,188.72x = 133,177,923,343.20
  5. Step 5: Solve for x
    x = 133,177,923,343.20/414,188.72
  6. Step 6: Final answer
    x = 321,539.23

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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.