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Finding the Fourth Proportional to 419,128.44, 628,698.42 and 119,608.86

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Solution

The fourth proportional to 419,128.44, 628,698.42 and 119,608.86 is: 179,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,128.44 : 628,698.42 = 119,608.86 : x
  2. Step 2: Convert to fraction form
    419,128.44/628,698.42 = 119,608.86/x
  3. Step 3: Cross multiply
    419,128.44x = 628,698.42 × 119,608.86
  4. Step 4: Simplify right side
    419,128.44x = 75,197,901,300.00
  5. Step 5: Solve for x
    x = 75,197,901,300.00/419,128.44
  6. Step 6: Final answer
    x = 179,414.93

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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.