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Finding the Fourth Proportional to 378,638.92, 522,504.12 and 217,380.48

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Solution

The fourth proportional to 378,638.92, 522,504.12 and 217,380.48 is: 299,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,638.92 : 522,504.12 = 217,380.48 : x
  2. Step 2: Convert to fraction form
    378,638.92/522,504.12 = 217,380.48/x
  3. Step 3: Cross multiply
    378,638.92x = 522,504.12 × 217,380.48
  4. Step 4: Simplify right side
    378,638.92x = 113,582,196,407.58
  5. Step 5: Solve for x
    x = 113,582,196,407.58/378,638.92
  6. Step 6: Final answer
    x = 299,974.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.