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Finding the Fourth Proportional to 419,139.87, 628,604.80 and 179,135.16

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Solution

The fourth proportional to 419,139.87, 628,604.80 and 179,135.16 is: 268,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,139.87 : 628,604.80 = 179,135.16 : x
  2. Step 2: Convert to fraction form
    419,139.87/628,604.80 = 179,135.16/x
  3. Step 3: Cross multiply
    419,139.87x = 628,604.80 × 179,135.16
  4. Step 4: Simplify right side
    419,139.87x = 112,605,222,361.10
  5. Step 5: Solve for x
    x = 112,605,222,361.10/419,139.87
  6. Step 6: Final answer
    x = 268,657.86

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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.