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Finding the Fourth Proportional to 298,513.47, 447,769.18 and 121,020.06

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Solution

The fourth proportional to 298,513.47, 447,769.18 and 121,020.06 is: 181,529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,513.47 : 447,769.18 = 121,020.06 : x
  2. Step 2: Convert to fraction form
    298,513.47/447,769.18 = 121,020.06/x
  3. Step 3: Cross multiply
    298,513.47x = 447,769.18 × 121,020.06
  4. Step 4: Simplify right side
    298,513.47x = 54,189,053,029.75
  5. Step 5: Solve for x
    x = 54,189,053,029.75/298,513.47
  6. Step 6: Final answer
    x = 181,529.67

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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.