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Finding the Fourth Proportional to 412,995.78, 619,419.76 and 262,789.88

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Solution

The fourth proportional to 412,995.78, 619,419.76 and 262,789.88 is: 394,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,995.78 : 619,419.76 = 262,789.88 : x
  2. Step 2: Convert to fraction form
    412,995.78/619,419.76 = 262,789.88/x
  3. Step 3: Cross multiply
    412,995.78x = 619,419.76 × 262,789.88
  4. Step 4: Simplify right side
    412,995.78x = 162,777,240,645.96
  5. Step 5: Solve for x
    x = 162,777,240,645.96/412,995.78
  6. Step 6: Final answer
    x = 394,137.78

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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.