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Finding the Fourth Proportional to 324,383.40, 486,575.10 and 309,621.15

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Solution

The fourth proportional to 324,383.40, 486,575.10 and 309,621.15 is: 464,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,383.40 : 486,575.10 = 309,621.15 : x
  2. Step 2: Convert to fraction form
    324,383.40/486,575.10 = 309,621.15/x
  3. Step 3: Cross multiply
    324,383.40x = 486,575.10 × 309,621.15
  4. Step 4: Simplify right side
    324,383.40x = 150,653,942,023.37
  5. Step 5: Solve for x
    x = 150,653,942,023.37/324,383.40
  6. Step 6: Final answer
    x = 464,431.73

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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.