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Finding the Fourth Proportional to 280,171.10, 419,871.18 and 120,055.37

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Solution

The fourth proportional to 280,171.10, 419,871.18 and 120,055.37 is: 179,917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,171.10 : 419,871.18 = 120,055.37 : x
  2. Step 2: Convert to fraction form
    280,171.10/419,871.18 = 120,055.37/x
  3. Step 3: Cross multiply
    280,171.10x = 419,871.18 × 120,055.37
  4. Step 4: Simplify right side
    280,171.10x = 50,407,789,867.24
  5. Step 5: Solve for x
    x = 50,407,789,867.24/280,171.10
  6. Step 6: Final answer
    x = 179,917.88

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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.