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Finding the Fourth Proportional to 419,289.98, 628,940.43 and 119,780.33

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Solution

The fourth proportional to 419,289.98, 628,940.43 and 119,780.33 is: 179,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,289.98 : 628,940.43 = 119,780.33 : x
  2. Step 2: Convert to fraction form
    419,289.98/628,940.43 = 119,780.33/x
  3. Step 3: Cross multiply
    419,289.98x = 628,940.43 × 119,780.33
  4. Step 4: Simplify right side
    419,289.98x = 75,334,689,111.04
  5. Step 5: Solve for x
    x = 75,334,689,111.04/419,289.98
  6. Step 6: Final answer
    x = 179,672.05

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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.