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Finding the Fourth Proportional to 275,880.64, 413,789.80 and 76,229.52

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Solution

The fourth proportional to 275,880.64, 413,789.80 and 76,229.52 is: 114,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,880.64 : 413,789.80 = 76,229.52 : x
  2. Step 2: Convert to fraction form
    275,880.64/413,789.80 = 76,229.52/x
  3. Step 3: Cross multiply
    275,880.64x = 413,789.80 × 76,229.52
  4. Step 4: Simplify right side
    275,880.64x = 31,542,997,834.90
  5. Step 5: Solve for x
    x = 31,542,997,834.90/275,880.64
  6. Step 6: Final answer
    x = 114,335.67

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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.