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Finding the Fourth Proportional to 280,855.64, 420,910.86 and 122,912.12

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Solution

The fourth proportional to 280,855.64, 420,910.86 and 122,912.12 is: 184,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,855.64 : 420,910.86 = 122,912.12 : x
  2. Step 2: Convert to fraction form
    280,855.64/420,910.86 = 122,912.12/x
  3. Step 3: Cross multiply
    280,855.64x = 420,910.86 × 122,912.12
  4. Step 4: Simplify right side
    280,855.64x = 51,735,046,133.62
  5. Step 5: Solve for x
    x = 51,735,046,133.62/280,855.64
  6. Step 6: Final answer
    x = 184,205.12

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1.5x scale

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.