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Finding the Fourth Proportional to 816,189, 1,224,354.06 and 225,213

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Solution

The fourth proportional to 816,189, 1,224,354.06 and 225,213 is: 337,838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,189 : 1,224,354.06 = 225,213 : x
  2. Step 2: Convert to fraction form
    816,189/1,224,354.06 = 225,213/x
  3. Step 3: Cross multiply
    816,189x = 1,224,354.06 × 225,213
  4. Step 4: Simplify right side
    816,189x = 275,740,450,914.78
  5. Step 5: Solve for x
    x = 275,740,450,914.78/816,189
  6. Step 6: Final answer
    x = 337,838.97

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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.