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Finding the Fourth Proportional to 419,133.88, 628,745.81 and 179,272.69

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Solution

The fourth proportional to 419,133.88, 628,745.81 and 179,272.69 is: 268,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,133.88 : 628,745.81 = 179,272.69 : x
  2. Step 2: Convert to fraction form
    419,133.88/628,745.81 = 179,272.69/x
  3. Step 3: Cross multiply
    419,133.88x = 628,745.81 × 179,272.69
  4. Step 4: Simplify right side
    419,133.88x = 112,716,955,097.94
  5. Step 5: Solve for x
    x = 112,716,955,097.94/419,133.88
  6. Step 6: Final answer
    x = 268,928.28

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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.