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Finding the Fourth Proportional to 415,110.40, 622,811.40 and 148,879.60

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Solution

The fourth proportional to 415,110.40, 622,811.40 and 148,879.60 is: 223,371.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,110.40 : 622,811.40 = 148,879.60 : x
  2. Step 2: Convert to fraction form
    415,110.40/622,811.40 = 148,879.60/x
  3. Step 3: Cross multiply
    415,110.40x = 622,811.40 × 148,879.60
  4. Step 4: Simplify right side
    415,110.40x = 92,723,912,107.44
  5. Step 5: Solve for x
    x = 92,723,912,107.44/415,110.40
  6. Step 6: Final answer
    x = 223,371.69

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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.