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Finding the Fourth Proportional to 321,708.78, 482,249.40 and 153,183.83

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Solution

The fourth proportional to 321,708.78, 482,249.40 and 153,183.83 is: 229,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,708.78 : 482,249.40 = 153,183.83 : x
  2. Step 2: Convert to fraction form
    321,708.78/482,249.40 = 153,183.83/x
  3. Step 3: Cross multiply
    321,708.78x = 482,249.40 × 153,183.83
  4. Step 4: Simplify right side
    321,708.78x = 73,872,807,121.52
  5. Step 5: Solve for x
    x = 73,872,807,121.52/321,708.78
  6. Step 6: Final answer
    x = 229,626.33

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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.