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Finding the Fourth Proportional to 321,907.20, 483,321.60 and 181,939.20

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Solution

The fourth proportional to 321,907.20, 483,321.60 and 181,939.20 is: 273,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,907.20 : 483,321.60 = 181,939.20 : x
  2. Step 2: Convert to fraction form
    321,907.20/483,321.60 = 181,939.20/x
  3. Step 3: Cross multiply
    321,907.20x = 483,321.60 × 181,939.20
  4. Step 4: Simplify right side
    321,907.20x = 87,935,145,246.72
  5. Step 5: Solve for x
    x = 87,935,145,246.72/321,907.20
  6. Step 6: Final answer
    x = 273,169.24

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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.