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Finding the Fourth Proportional to 275,785.92, 413,768 and 135,446.12

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Solution

The fourth proportional to 275,785.92, 413,768 and 135,446.12 is: 203,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,785.92 : 413,768 = 135,446.12 : x
  2. Step 2: Convert to fraction form
    275,785.92/413,768 = 135,446.12/x
  3. Step 3: Cross multiply
    275,785.92x = 413,768 × 135,446.12
  4. Step 4: Simplify right side
    275,785.92x = 56,043,270,180.16
  5. Step 5: Solve for x
    x = 56,043,270,180.16/275,785.92
  6. Step 6: Final answer
    x = 203,212.95

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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.