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Finding the Fourth Proportional to 298,057.60, 447,141.89 and 138,027.89

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Solution

The fourth proportional to 298,057.60, 447,141.89 and 138,027.89 is: 207,067.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,057.60 : 447,141.89 = 138,027.89 : x
  2. Step 2: Convert to fraction form
    298,057.60/447,141.89 = 138,027.89/x
  3. Step 3: Cross multiply
    298,057.60x = 447,141.89 × 138,027.89
  4. Step 4: Simplify right side
    298,057.60x = 61,718,052,270.58
  5. Step 5: Solve for x
    x = 61,718,052,270.58/298,057.60
  6. Step 6: Final answer
    x = 207,067.53

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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.