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Finding the Fourth Proportional to 419,722.92, 579,200.70 and 228,732.20

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Solution

The fourth proportional to 419,722.92, 579,200.70 and 228,732.20 is: 315,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,722.92 : 579,200.70 = 228,732.20 : x
  2. Step 2: Convert to fraction form
    419,722.92/579,200.70 = 228,732.20/x
  3. Step 3: Cross multiply
    419,722.92x = 579,200.70 × 228,732.20
  4. Step 4: Simplify right side
    419,722.92x = 132,481,850,352.54
  5. Step 5: Solve for x
    x = 132,481,850,352.54/419,722.92
  6. Step 6: Final answer
    x = 315,641.21

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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.