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Finding the Fourth Proportional to 298,455.50, 412,218.51 and 197,678.54

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Solution

The fourth proportional to 298,455.50, 412,218.51 and 197,678.54 is: 273,028.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,455.50 : 412,218.51 = 197,678.54 : x
  2. Step 2: Convert to fraction form
    298,455.50/412,218.51 = 197,678.54/x
  3. Step 3: Cross multiply
    298,455.50x = 412,218.51 × 197,678.54
  4. Step 4: Simplify right side
    298,455.50x = 81,486,753,217.78
  5. Step 5: Solve for x
    x = 81,486,753,217.78/298,455.50
  6. Step 6: Final answer
    x = 273,028.15

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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.