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Finding the Fourth Proportional to 279,993.60, 419,880.96 and 122,114.16

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Solution

The fourth proportional to 279,993.60, 419,880.96 and 122,114.16 is: 183,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,993.60 : 419,880.96 = 122,114.16 : x
  2. Step 2: Convert to fraction form
    279,993.60/419,880.96 = 122,114.16/x
  3. Step 3: Cross multiply
    279,993.60x = 419,880.96 × 122,114.16
  4. Step 4: Simplify right side
    279,993.60x = 51,273,410,730.39
  5. Step 5: Solve for x
    x = 51,273,410,730.39/279,993.60
  6. Step 6: Final answer
    x = 183,123.51

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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.