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Finding the Fourth Proportional to 419,754.09, 579,243.78 and 228,763.38

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Solution

The fourth proportional to 419,754.09, 579,243.78 and 228,763.38 is: 315,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,754.09 : 579,243.78 = 228,763.38 : x
  2. Step 2: Convert to fraction form
    419,754.09/579,243.78 = 228,763.38/x
  3. Step 3: Cross multiply
    419,754.09x = 579,243.78 × 228,763.38
  4. Step 4: Simplify right side
    419,754.09x = 132,509,764,956.78
  5. Step 5: Solve for x
    x = 132,509,764,956.78/419,754.09
  6. Step 6: Final answer
    x = 315,684.27

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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.