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Finding the Fourth Proportional to 415,021.57, 622,619.84 and 134,516.95

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Solution

The fourth proportional to 415,021.57, 622,619.84 and 134,516.95 is: 201,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,021.57 : 622,619.84 = 134,516.95 : x
  2. Step 2: Convert to fraction form
    415,021.57/622,619.84 = 134,516.95/x
  3. Step 3: Cross multiply
    415,021.57x = 622,619.84 × 134,516.95
  4. Step 4: Simplify right side
    415,021.57x = 83,752,923,789.94
  5. Step 5: Solve for x
    x = 83,752,923,789.94/415,021.57
  6. Step 6: Final answer
    x = 201,803.78

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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.