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Finding the Fourth Proportional to 300,707.52, 414,736.92 and 193,288.56

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Solution

The fourth proportional to 300,707.52, 414,736.92 and 193,288.56 is: 266,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,707.52 : 414,736.92 = 193,288.56 : x
  2. Step 2: Convert to fraction form
    300,707.52/414,736.92 = 193,288.56/x
  3. Step 3: Cross multiply
    300,707.52x = 414,736.92 × 193,288.56
  4. Step 4: Simplify right side
    300,707.52x = 80,163,902,045.64
  5. Step 5: Solve for x
    x = 80,163,902,045.64/300,707.52
  6. Step 6: Final answer
    x = 266,584.29

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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.