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Finding the Fourth Proportional to 421,556.41, 632,206.99 and 221,766.61

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Solution

The fourth proportional to 421,556.41, 632,206.99 and 221,766.61 is: 332,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,556.41 : 632,206.99 = 221,766.61 : x
  2. Step 2: Convert to fraction form
    421,556.41/632,206.99 = 221,766.61/x
  3. Step 3: Cross multiply
    421,556.41x = 632,206.99 × 221,766.61
  4. Step 4: Simplify right side
    421,556.41x = 140,202,400,990.60
  5. Step 5: Solve for x
    x = 140,202,400,990.60/421,556.41
  6. Step 6: Final answer
    x = 332,582.78

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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.