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Finding the Fourth Proportional to 280,227.60, 420,310.32 and 100,305.84

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Solution

The fourth proportional to 280,227.60, 420,310.32 and 100,305.84 is: 150,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,227.60 : 420,310.32 = 100,305.84 : x
  2. Step 2: Convert to fraction form
    280,227.60/420,310.32 = 100,305.84/x
  3. Step 3: Cross multiply
    280,227.60x = 420,310.32 × 100,305.84
  4. Step 4: Simplify right side
    280,227.60x = 42,159,579,708.27
  5. Step 5: Solve for x
    x = 42,159,579,708.27/280,227.60
  6. Step 6: Final answer
    x = 150,447.64

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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.