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Finding the Fourth Proportional to 262,808.20, 394,212.30 and 228,593.80

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Solution

The fourth proportional to 262,808.20, 394,212.30 and 228,593.80 is: 342,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,808.20 : 394,212.30 = 228,593.80 : x
  2. Step 2: Convert to fraction form
    262,808.20/394,212.30 = 228,593.80/x
  3. Step 3: Cross multiply
    262,808.20x = 394,212.30 × 228,593.80
  4. Step 4: Simplify right side
    262,808.20x = 90,114,487,663.74
  5. Step 5: Solve for x
    x = 90,114,487,663.74/262,808.20
  6. Step 6: Final answer
    x = 342,890.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.