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Finding the Fourth Proportional to 419,059.93, 628,610.65 and 119,584.64

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Solution

The fourth proportional to 419,059.93, 628,610.65 and 119,584.64 is: 179,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,059.93 : 628,610.65 = 119,584.64 : x
  2. Step 2: Convert to fraction form
    419,059.93/628,610.65 = 119,584.64/x
  3. Step 3: Cross multiply
    419,059.93x = 628,610.65 × 119,584.64
  4. Step 4: Simplify right side
    419,059.93x = 75,172,174,838.40
  5. Step 5: Solve for x
    x = 75,172,174,838.40/419,059.93
  6. Step 6: Final answer
    x = 179,382.88

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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.