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Finding the Fourth Proportional to 383,986, 576,236.10 and 159,346.66

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Solution

The fourth proportional to 383,986, 576,236.10 and 159,346.66 is: 239,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,986 : 576,236.10 = 159,346.66 : x
  2. Step 2: Convert to fraction form
    383,986/576,236.10 = 159,346.66/x
  3. Step 3: Cross multiply
    383,986x = 576,236.10 × 159,346.66
  4. Step 4: Simplify right side
    383,986x = 91,821,297,906.43
  5. Step 5: Solve for x
    x = 91,821,297,906.43/383,986
  6. Step 6: Final answer
    x = 239,126.68

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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.