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Finding the Fourth Proportional to 404,489, 558,194.82 and 225,641

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Solution

The fourth proportional to 404,489, 558,194.82 and 225,641 is: 311,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,489 : 558,194.82 = 225,641 : x
  2. Step 2: Convert to fraction form
    404,489/558,194.82 = 225,641/x
  3. Step 3: Cross multiply
    404,489x = 558,194.82 × 225,641
  4. Step 4: Simplify right side
    404,489x = 125,951,637,379.62
  5. Step 5: Solve for x
    x = 125,951,637,379.62/404,489
  6. Step 6: Final answer
    x = 311,384.58

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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.