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Finding the Fourth Proportional to 300,475.28, 414,936.88 and 193,231.48

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Solution

The fourth proportional to 300,475.28, 414,936.88 and 193,231.48 is: 266,840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,475.28 : 414,936.88 = 193,231.48 : x
  2. Step 2: Convert to fraction form
    300,475.28/414,936.88 = 193,231.48/x
  3. Step 3: Cross multiply
    300,475.28x = 414,936.88 × 193,231.48
  4. Step 4: Simplify right side
    300,475.28x = 80,178,867,428.98
  5. Step 5: Solve for x
    x = 80,178,867,428.98/300,475.28
  6. Step 6: Final answer
    x = 266,840.15

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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.