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Finding the Fourth Proportional to 381,994.58, 527,163.90 and 220,835.36

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Solution

The fourth proportional to 381,994.58, 527,163.90 and 220,835.36 is: 304,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,994.58 : 527,163.90 = 220,835.36 : x
  2. Step 2: Convert to fraction form
    381,994.58/527,163.90 = 220,835.36/x
  3. Step 3: Cross multiply
    381,994.58x = 527,163.90 × 220,835.36
  4. Step 4: Simplify right side
    381,994.58x = 116,416,430,125.28
  5. Step 5: Solve for x
    x = 116,416,430,125.28/381,994.58
  6. Step 6: Final answer
    x = 304,759.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.