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Finding the Fourth Proportional to 300,538.56, 414,743.22 and 173,222.36

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Solution

The fourth proportional to 300,538.56, 414,743.22 and 173,222.36 is: 239,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,538.56 : 414,743.22 = 173,222.36 : x
  2. Step 2: Convert to fraction form
    300,538.56/414,743.22 = 173,222.36/x
  3. Step 3: Cross multiply
    300,538.56x = 414,743.22 × 173,222.36
  4. Step 4: Simplify right side
    300,538.56x = 71,842,799,362.40
  5. Step 5: Solve for x
    x = 71,842,799,362.40/300,538.56
  6. Step 6: Final answer
    x = 239,046.86

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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.