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Finding the Fourth Proportional to 450,380.36, 675,189 and 197,469.20

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Solution

The fourth proportional to 450,380.36, 675,189 and 197,469.20 is: 296,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,380.36 : 675,189 = 197,469.20 : x
  2. Step 2: Convert to fraction form
    450,380.36/675,189 = 197,469.20/x
  3. Step 3: Cross multiply
    450,380.36x = 675,189 × 197,469.20
  4. Step 4: Simplify right side
    450,380.36x = 133,329,031,678.80
  5. Step 5: Solve for x
    x = 133,329,031,678.80/450,380.36
  6. Step 6: Final answer
    x = 296,036.51

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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.