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Finding the Fourth Proportional to 419,190.86, 628,883.90 and 119,675.54

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Solution

The fourth proportional to 419,190.86, 628,883.90 and 119,675.54 is: 179,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,190.86 : 628,883.90 = 119,675.54 : x
  2. Step 2: Convert to fraction form
    419,190.86/628,883.90 = 119,675.54/x
  3. Step 3: Cross multiply
    419,190.86x = 628,883.90 × 119,675.54
  4. Step 4: Simplify right side
    419,190.86x = 75,262,021,752.42
  5. Step 5: Solve for x
    x = 75,262,021,752.42/419,190.86
  6. Step 6: Final answer
    x = 179,541.18

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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.