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Finding the Fourth Proportional to 298,198, 447,024.84 and 272,226.16

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Solution

The fourth proportional to 298,198, 447,024.84 and 272,226.16 is: 408,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,198 : 447,024.84 = 272,226.16 : x
  2. Step 2: Convert to fraction form
    298,198/447,024.84 = 272,226.16/x
  3. Step 3: Cross multiply
    298,198x = 447,024.84 × 272,226.16
  4. Step 4: Simplify right side
    298,198x = 121,691,855,617.81
  5. Step 5: Solve for x
    x = 121,691,855,617.81/298,198
  6. Step 6: Final answer
    x = 408,090.78

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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.