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Finding the Fourth Proportional to 280,856.64, 420,912.36 and 122,913.12

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Solution

The fourth proportional to 280,856.64, 420,912.36 and 122,913.12 is: 184,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,856.64 : 420,912.36 = 122,913.12 : x
  2. Step 2: Convert to fraction form
    280,856.64/420,912.36 = 122,913.12/x
  3. Step 3: Cross multiply
    280,856.64x = 420,912.36 × 122,913.12
  4. Step 4: Simplify right side
    280,856.64x = 51,735,651,414.16
  5. Step 5: Solve for x
    x = 51,735,651,414.16/280,856.64
  6. Step 6: Final answer
    x = 184,206.62

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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.