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Finding the Fourth Proportional to 275,906.88, 413,640.36 and 253,764.72

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Solution

The fourth proportional to 275,906.88, 413,640.36 and 253,764.72 is: 380,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,906.88 : 413,640.36 = 253,764.72 : x
  2. Step 2: Convert to fraction form
    275,906.88/413,640.36 = 253,764.72/x
  3. Step 3: Cross multiply
    275,906.88x = 413,640.36 × 253,764.72
  4. Step 4: Simplify right side
    275,906.88x = 104,967,330,136.10
  5. Step 5: Solve for x
    x = 104,967,330,136.10/275,906.88
  6. Step 6: Final answer
    x = 380,444.77

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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.