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Finding the Fourth Proportional to 399,076.82, 550,738.16 and 227,019.71

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Solution

The fourth proportional to 399,076.82, 550,738.16 and 227,019.71 is: 313,294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,076.82 : 550,738.16 = 227,019.71 : x
  2. Step 2: Convert to fraction form
    399,076.82/550,738.16 = 227,019.71/x
  3. Step 3: Cross multiply
    399,076.82x = 550,738.16 × 227,019.71
  4. Step 4: Simplify right side
    399,076.82x = 125,028,419,313.53
  5. Step 5: Solve for x
    x = 125,028,419,313.53/399,076.82
  6. Step 6: Final answer
    x = 313,294.12

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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.