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Finding the Fourth Proportional to 280,856.14, 420,911.61 and 122,912.62

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Solution

The fourth proportional to 280,856.14, 420,911.61 and 122,912.62 is: 184,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,856.14 : 420,911.61 = 122,912.62 : x
  2. Step 2: Convert to fraction form
    280,856.14/420,911.61 = 122,912.62/x
  3. Step 3: Cross multiply
    280,856.14x = 420,911.61 × 122,912.62
  4. Step 4: Simplify right side
    280,856.14x = 51,735,348,773.52
  5. Step 5: Solve for x
    x = 51,735,348,773.52/280,856.14
  6. Step 6: Final answer
    x = 184,205.87

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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.