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Finding the Fourth Proportional to 298,388.75, 447,578.71 and 73,749.20

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Solution

The fourth proportional to 298,388.75, 447,578.71 and 73,749.20 is: 110,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,388.75 : 447,578.71 = 73,749.20 : x
  2. Step 2: Convert to fraction form
    298,388.75/447,578.71 = 73,749.20/x
  3. Step 3: Cross multiply
    298,388.75x = 447,578.71 × 73,749.20
  4. Step 4: Simplify right side
    298,388.75x = 33,008,572,309.74
  5. Step 5: Solve for x
    x = 33,008,572,309.74/298,388.75
  6. Step 6: Final answer
    x = 110,622.71

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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.