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Finding the Fourth Proportional to 321,765.28, 482,647.92 and 100,166.56

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Solution

The fourth proportional to 321,765.28, 482,647.92 and 100,166.56 is: 150,249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,765.28 : 482,647.92 = 100,166.56 : x
  2. Step 2: Convert to fraction form
    321,765.28/482,647.92 = 100,166.56/x
  3. Step 3: Cross multiply
    321,765.28x = 482,647.92 × 100,166.56
  4. Step 4: Simplify right side
    321,765.28x = 48,345,181,837.56
  5. Step 5: Solve for x
    x = 48,345,181,837.56/321,765.28
  6. Step 6: Final answer
    x = 150,249.84

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1.5x scale

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.