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Finding the Fourth Proportional to 397,387.44, 548,409.07 and 227,654.37

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Solution

The fourth proportional to 397,387.44, 548,409.07 and 227,654.37 is: 314,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,387.44 : 548,409.07 = 227,654.37 : x
  2. Step 2: Convert to fraction form
    397,387.44/548,409.07 = 227,654.37/x
  3. Step 3: Cross multiply
    397,387.44x = 548,409.07 × 227,654.37
  4. Step 4: Simplify right side
    397,387.44x = 124,847,721,333.14
  5. Step 5: Solve for x
    x = 124,847,721,333.14/397,387.44
  6. Step 6: Final answer
    x = 314,171.28

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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.