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Finding the Fourth Proportional to 298,138.74, 447,351.58 and 148,392.11

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Solution

The fourth proportional to 298,138.74, 447,351.58 and 148,392.11 is: 222,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,138.74 : 447,351.58 = 148,392.11 : x
  2. Step 2: Convert to fraction form
    298,138.74/447,351.58 = 148,392.11/x
  3. Step 3: Cross multiply
    298,138.74x = 447,351.58 × 148,392.11
  4. Step 4: Simplify right side
    298,138.74x = 66,383,446,171.90
  5. Step 5: Solve for x
    x = 66,383,446,171.90/298,138.74
  6. Step 6: Final answer
    x = 222,659.58

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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.