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Finding the Fourth Proportional to 276,645.70, 413,984.40 and 192,008.80

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Solution

The fourth proportional to 276,645.70, 413,984.40 and 192,008.80 is: 287,330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,645.70 : 413,984.40 = 192,008.80 : x
  2. Step 2: Convert to fraction form
    276,645.70/413,984.40 = 192,008.80/x
  3. Step 3: Cross multiply
    276,645.70x = 413,984.40 × 192,008.80
  4. Step 4: Simplify right side
    276,645.70x = 79,488,647,862.72
  5. Step 5: Solve for x
    x = 79,488,647,862.72/276,645.70
  6. Step 6: Final answer
    x = 287,330.14

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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.