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Finding the Fourth Proportional to 421,223.98, 632,396.49 and 221,684.50

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Solution

The fourth proportional to 421,223.98, 632,396.49 and 221,684.50 is: 332,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,223.98 : 632,396.49 = 221,684.50 : x
  2. Step 2: Convert to fraction form
    421,223.98/632,396.49 = 221,684.50/x
  3. Step 3: Cross multiply
    421,223.98x = 632,396.49 × 221,684.50
  4. Step 4: Simplify right side
    421,223.98x = 140,192,498,106.41
  5. Step 5: Solve for x
    x = 140,192,498,106.41/421,223.98
  6. Step 6: Final answer
    x = 332,821.74

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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.