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Finding the Fourth Proportional to 307,778.87, 462,178.89 and 190,197.56

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Solution

The fourth proportional to 307,778.87, 462,178.89 and 190,197.56 is: 285,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,778.87 : 462,178.89 = 190,197.56 : x
  2. Step 2: Convert to fraction form
    307,778.87/462,178.89 = 190,197.56/x
  3. Step 3: Cross multiply
    307,778.87x = 462,178.89 × 190,197.56
  4. Step 4: Simplify right side
    307,778.87x = 87,905,294,850.61
  5. Step 5: Solve for x
    x = 87,905,294,850.61/307,778.87
  6. Step 6: Final answer
    x = 285,611.86

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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.