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Finding the Fourth Proportional to 421,324.56, 632,172.96 and 221,599.44

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Solution

The fourth proportional to 421,324.56, 632,172.96 and 221,599.44 is: 332,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,324.56 : 632,172.96 = 221,599.44 : x
  2. Step 2: Convert to fraction form
    421,324.56/632,172.96 = 221,599.44/x
  3. Step 3: Cross multiply
    421,324.56x = 632,172.96 × 221,599.44
  4. Step 4: Simplify right side
    421,324.56x = 140,089,173,919.14
  5. Step 5: Solve for x
    x = 140,089,173,919.14/421,324.56
  6. Step 6: Final answer
    x = 332,497.05

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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.