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Finding the Fourth Proportional to 298,513.97, 447,769.94 and 121,020.56

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Solution

The fourth proportional to 298,513.97, 447,769.94 and 121,020.56 is: 181,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,513.97 : 447,769.94 = 121,020.56 : x
  2. Step 2: Convert to fraction form
    298,513.97/447,769.94 = 121,020.56/x
  3. Step 3: Cross multiply
    298,513.97x = 447,769.94 × 121,020.56
  4. Step 4: Simplify right side
    298,513.97x = 54,189,369,404.29
  5. Step 5: Solve for x
    x = 54,189,369,404.29/298,513.97
  6. Step 6: Final answer
    x = 181,530.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.