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Finding the Fourth Proportional to 378,179.33, 521,880.48 and 206,098.70

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Solution

The fourth proportional to 378,179.33, 521,880.48 and 206,098.70 is: 284,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,179.33 : 521,880.48 = 206,098.70 : x
  2. Step 2: Convert to fraction form
    378,179.33/521,880.48 = 206,098.70/x
  3. Step 3: Cross multiply
    378,179.33x = 521,880.48 × 206,098.70
  4. Step 4: Simplify right side
    378,179.33x = 107,558,885,873.97
  5. Step 5: Solve for x
    x = 107,558,885,873.97/378,179.33
  6. Step 6: Final answer
    x = 284,412.39

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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.