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Finding the Fourth Proportional to 379,018.68, 523,023.24 and 206,902.32

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Solution

The fourth proportional to 379,018.68, 523,023.24 and 206,902.32 is: 285,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,018.68 : 523,023.24 = 206,902.32 : x
  2. Step 2: Convert to fraction form
    379,018.68/523,023.24 = 206,902.32/x
  3. Step 3: Cross multiply
    379,018.68x = 523,023.24 × 206,902.32
  4. Step 4: Simplify right side
    379,018.68x = 108,214,721,769.92
  5. Step 5: Solve for x
    x = 108,214,721,769.92/379,018.68
  6. Step 6: Final answer
    x = 285,512.90

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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.