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Finding the Fourth Proportional to 276,138.26, 413,543.06 and 157,449.77

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Solution

The fourth proportional to 276,138.26, 413,543.06 and 157,449.77 is: 235,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,138.26 : 413,543.06 = 157,449.77 : x
  2. Step 2: Convert to fraction form
    276,138.26/413,543.06 = 157,449.77/x
  3. Step 3: Cross multiply
    276,138.26x = 413,543.06 × 157,449.77
  4. Step 4: Simplify right side
    276,138.26x = 65,112,257,614.38
  5. Step 5: Solve for x
    x = 65,112,257,614.38/276,138.26
  6. Step 6: Final answer
    x = 235,795.86

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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.