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Finding the Fourth Proportional to 419,384.05, 628,453.99 and 308,031.73

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Solution

The fourth proportional to 419,384.05, 628,453.99 and 308,031.73 is: 461,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,384.05 : 628,453.99 = 308,031.73 : x
  2. Step 2: Convert to fraction form
    419,384.05/628,453.99 = 308,031.73/x
  3. Step 3: Cross multiply
    419,384.05x = 628,453.99 × 308,031.73
  4. Step 4: Simplify right side
    419,384.05x = 193,583,769,765.10
  5. Step 5: Solve for x
    x = 193,583,769,765.10/419,384.05
  6. Step 6: Final answer
    x = 461,590.68

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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.