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Finding the Fourth Proportional to 412,682.29, 619,112.52 and 128,367.43

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Solution

The fourth proportional to 412,682.29, 619,112.52 and 128,367.43 is: 192,578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,682.29 : 619,112.52 = 128,367.43 : x
  2. Step 2: Convert to fraction form
    412,682.29/619,112.52 = 128,367.43/x
  3. Step 3: Cross multiply
    412,682.29x = 619,112.52 × 128,367.43
  4. Step 4: Simplify right side
    412,682.29x = 79,473,883,073.22
  5. Step 5: Solve for x
    x = 79,473,883,073.22/412,682.29
  6. Step 6: Final answer
    x = 192,578.86

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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.