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Finding the Fourth Proportional to 419,118.82, 628,684.02 and 119,599.33

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Solution

The fourth proportional to 419,118.82, 628,684.02 and 119,599.33 is: 179,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,118.82 : 628,684.02 = 119,599.33 : x
  2. Step 2: Convert to fraction form
    419,118.82/628,684.02 = 119,599.33/x
  3. Step 3: Cross multiply
    419,118.82x = 628,684.02 × 119,599.33
  4. Step 4: Simplify right side
    419,118.82x = 75,190,187,573.71
  5. Step 5: Solve for x
    x = 75,190,187,573.71/419,118.82
  6. Step 6: Final answer
    x = 179,400.65

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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.