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Finding the Fourth Proportional to 276,137.75, 413,542.31 and 157,449.26

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Solution

The fourth proportional to 276,137.75, 413,542.31 and 157,449.26 is: 235,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,137.75 : 413,542.31 = 157,449.26 : x
  2. Step 2: Convert to fraction form
    276,137.75/413,542.31 = 157,449.26/x
  3. Step 3: Cross multiply
    276,137.75x = 413,542.31 × 157,449.26
  4. Step 4: Simplify right side
    276,137.75x = 65,111,932,115.67
  5. Step 5: Solve for x
    x = 65,111,932,115.67/276,137.75
  6. Step 6: Final answer
    x = 235,795.11

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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.