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Finding the Fourth Proportional to 378,580.91, 522,443.30 and 206,502.58

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Solution

The fourth proportional to 378,580.91, 522,443.30 and 206,502.58 is: 284,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,580.91 : 522,443.30 = 206,502.58 : x
  2. Step 2: Convert to fraction form
    378,580.91/522,443.30 = 206,502.58/x
  3. Step 3: Cross multiply
    378,580.91x = 522,443.30 × 206,502.58
  4. Step 4: Simplify right side
    378,580.91x = 107,885,889,353.71
  5. Step 5: Solve for x
    x = 107,885,889,353.71/378,580.91
  6. Step 6: Final answer
    x = 284,974.46

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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.