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Finding the Fourth Proportional to 298,513.54, 447,769.29 and 121,020.13

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Solution

The fourth proportional to 298,513.54, 447,769.29 and 121,020.13 is: 181,529.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,513.54 : 447,769.29 = 121,020.13 : x
  2. Step 2: Convert to fraction form
    298,513.54/447,769.29 = 121,020.13/x
  3. Step 3: Cross multiply
    298,513.54x = 447,769.29 × 121,020.13
  4. Step 4: Simplify right side
    298,513.54x = 54,189,095,446.96
  5. Step 5: Solve for x
    x = 54,189,095,446.96/298,513.54
  6. Step 6: Final answer
    x = 181,529.78

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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.