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Finding the Fourth Proportional to 300,628.48, 414,773.76 and 200,043.52

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Solution

The fourth proportional to 300,628.48, 414,773.76 and 200,043.52 is: 275,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,628.48 : 414,773.76 = 200,043.52 : x
  2. Step 2: Convert to fraction form
    300,628.48/414,773.76 = 200,043.52/x
  3. Step 3: Cross multiply
    300,628.48x = 414,773.76 × 200,043.52
  4. Step 4: Simplify right side
    300,628.48x = 82,972,802,954.04
  5. Step 5: Solve for x
    x = 82,972,802,954.04/300,628.48
  6. Step 6: Final answer
    x = 275,997.81

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1.5x scale

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.