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Finding the Fourth Proportional to 295,744.64, 407,976 and 200,217.92

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Solution

The fourth proportional to 295,744.64, 407,976 and 200,217.92 is: 276,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,744.64 : 407,976 = 200,217.92 : x
  2. Step 2: Convert to fraction form
    295,744.64/407,976 = 200,217.92/x
  3. Step 3: Cross multiply
    295,744.64x = 407,976 × 200,217.92
  4. Step 4: Simplify right side
    295,744.64x = 81,684,106,129.92
  5. Step 5: Solve for x
    x = 81,684,106,129.92/295,744.64
  6. Step 6: Final answer
    x = 276,198.09

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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.