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Finding the Fourth Proportional to 276,367.79, 413,887.37 and 157,679.30

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Solution

The fourth proportional to 276,367.79, 413,887.37 and 157,679.30 is: 236,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,367.79 : 413,887.37 = 157,679.30 : x
  2. Step 2: Convert to fraction form
    276,367.79/413,887.37 = 157,679.30/x
  3. Step 3: Cross multiply
    276,367.79x = 413,887.37 × 157,679.30
  4. Step 4: Simplify right side
    276,367.79x = 65,261,467,922.61
  5. Step 5: Solve for x
    x = 65,261,467,922.61/276,367.79
  6. Step 6: Final answer
    x = 236,139.92

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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.