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Finding the Fourth Proportional to 378,508.56, 522,342.30 and 206,426.89

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Solution

The fourth proportional to 378,508.56, 522,342.30 and 206,426.89 is: 284,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,508.56 : 522,342.30 = 206,426.89 : x
  2. Step 2: Convert to fraction form
    378,508.56/522,342.30 = 206,426.89/x
  3. Step 3: Cross multiply
    378,508.56x = 522,342.30 × 206,426.89
  4. Step 4: Simplify right side
    378,508.56x = 107,825,496,504.45
  5. Step 5: Solve for x
    x = 107,825,496,504.45/378,508.56
  6. Step 6: Final answer
    x = 284,869.37

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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.