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Finding the Fourth Proportional to 419,993.88, 579,578.92 and 229,011

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Solution

The fourth proportional to 419,993.88, 579,578.92 and 229,011 is: 316,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,993.88 : 579,578.92 = 229,011 : x
  2. Step 2: Convert to fraction form
    419,993.88/579,578.92 = 229,011/x
  3. Step 3: Cross multiply
    419,993.88x = 579,578.92 × 229,011
  4. Step 4: Simplify right side
    419,993.88x = 132,729,948,048.12
  5. Step 5: Solve for x
    x = 132,729,948,048.12/419,993.88
  6. Step 6: Final answer
    x = 316,028.29

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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.