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Finding the Fourth Proportional to 300,501.09, 414,972.92 and 193,257.90

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Solution

The fourth proportional to 300,501.09, 414,972.92 and 193,257.90 is: 266,876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,501.09 : 414,972.92 = 193,257.90 : x
  2. Step 2: Convert to fraction form
    300,501.09/414,972.92 = 193,257.90/x
  3. Step 3: Cross multiply
    300,501.09x = 414,972.92 × 193,257.90
  4. Step 4: Simplify right side
    300,501.09x = 80,196,795,559.21
  5. Step 5: Solve for x
    x = 80,196,795,559.21/300,501.09
  6. Step 6: Final answer
    x = 266,876.89

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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.