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Finding the Fourth Proportional to 432,540.56, 647,940.88 and 215,745.68

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Solution

The fourth proportional to 432,540.56, 647,940.88 and 215,745.68 is: 323,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,540.56 : 647,940.88 = 215,745.68 : x
  2. Step 2: Convert to fraction form
    432,540.56/647,940.88 = 215,745.68/x
  3. Step 3: Cross multiply
    432,540.56x = 647,940.88 × 215,745.68
  4. Step 4: Simplify right side
    432,540.56x = 139,790,445,755.40
  5. Step 5: Solve for x
    x = 139,790,445,755.40/432,540.56
  6. Step 6: Final answer
    x = 323,184.60

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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.