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Finding the Fourth Proportional to 275,443, 413,339.28 and 117,672.64

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Solution

The fourth proportional to 275,443, 413,339.28 and 117,672.64 is: 176,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,443 : 413,339.28 = 117,672.64 : x
  2. Step 2: Convert to fraction form
    275,443/413,339.28 = 117,672.64/x
  3. Step 3: Cross multiply
    275,443x = 413,339.28 × 117,672.64
  4. Step 4: Simplify right side
    275,443x = 48,638,724,293.30
  5. Step 5: Solve for x
    x = 48,638,724,293.30/275,443
  6. Step 6: Final answer
    x = 176,583.63

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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.