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Finding the Fourth Proportional to 419,722.56, 579,200.28 and 228,731.92

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Solution

The fourth proportional to 419,722.56, 579,200.28 and 228,731.92 is: 315,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,722.56 : 579,200.28 = 228,731.92 : x
  2. Step 2: Convert to fraction form
    419,722.56/579,200.28 = 228,731.92/x
  3. Step 3: Cross multiply
    419,722.56x = 579,200.28 × 228,731.92
  4. Step 4: Simplify right side
    419,722.56x = 132,481,592,108.94
  5. Step 5: Solve for x
    x = 132,481,592,108.94/419,722.56
  6. Step 6: Final answer
    x = 315,640.87

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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.