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Finding the Fourth Proportional to 279,751.88, 419,993.64 and 166,107.20

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Solution

The fourth proportional to 279,751.88, 419,993.64 and 166,107.20 is: 249,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,751.88 : 419,993.64 = 166,107.20 : x
  2. Step 2: Convert to fraction form
    279,751.88/419,993.64 = 166,107.20/x
  3. Step 3: Cross multiply
    279,751.88x = 419,993.64 × 166,107.20
  4. Step 4: Simplify right side
    279,751.88x = 69,763,967,558.21
  5. Step 5: Solve for x
    x = 69,763,967,558.21/279,751.88
  6. Step 6: Final answer
    x = 249,378.01

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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.