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Finding the Fourth Proportional to 397,782.96, 548,997.24 and 225,743.22

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Solution

The fourth proportional to 397,782.96, 548,997.24 and 225,743.22 is: 311,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,782.96 : 548,997.24 = 225,743.22 : x
  2. Step 2: Convert to fraction form
    397,782.96/548,997.24 = 225,743.22/x
  3. Step 3: Cross multiply
    397,782.96x = 548,997.24 × 225,743.22
  4. Step 4: Simplify right side
    397,782.96x = 123,932,404,728.71
  5. Step 5: Solve for x
    x = 123,932,404,728.71/397,782.96
  6. Step 6: Final answer
    x = 311,557.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.