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Finding the Fourth Proportional to 397,381.88, 548,401.43 and 227,648.81

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Solution

The fourth proportional to 397,381.88, 548,401.43 and 227,648.81 is: 314,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,381.88 : 548,401.43 = 227,648.81 : x
  2. Step 2: Convert to fraction form
    397,381.88/548,401.43 = 227,648.81/x
  3. Step 3: Cross multiply
    397,381.88x = 548,401.43 × 227,648.81
  4. Step 4: Simplify right side
    397,381.88x = 124,842,933,174.56
  5. Step 5: Solve for x
    x = 124,842,933,174.56/397,381.88
  6. Step 6: Final answer
    x = 314,163.63

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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.