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Finding the Fourth Proportional to 300,448.80, 450,900 and 205,452

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Solution

The fourth proportional to 300,448.80, 450,900 and 205,452 is: 308,333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,448.80 : 450,900 = 205,452 : x
  2. Step 2: Convert to fraction form
    300,448.80/450,900 = 205,452/x
  3. Step 3: Cross multiply
    300,448.80x = 450,900 × 205,452
  4. Step 4: Simplify right side
    300,448.80x = 92,638,306,800
  5. Step 5: Solve for x
    x = 92,638,306,800/300,448.80
  6. Step 6: Final answer
    x = 308,333.09

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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.