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Finding the Fourth Proportional to 404,409, 558,084.42 and 225,561

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Solution

The fourth proportional to 404,409, 558,084.42 and 225,561 is: 311,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,409 : 558,084.42 = 225,561 : x
  2. Step 2: Convert to fraction form
    404,409/558,084.42 = 225,561/x
  3. Step 3: Cross multiply
    404,409x = 558,084.42 × 225,561
  4. Step 4: Simplify right side
    404,409x = 125,882,079,859.62
  5. Step 5: Solve for x
    x = 125,882,079,859.62/404,409
  6. Step 6: Final answer
    x = 311,274.18

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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.