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Finding the Fourth Proportional to 298,755, 412,301.88 and 164,619

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Solution

The fourth proportional to 298,755, 412,301.88 and 164,619 is: 227,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,755 : 412,301.88 = 164,619 : x
  2. Step 2: Convert to fraction form
    298,755/412,301.88 = 164,619/x
  3. Step 3: Cross multiply
    298,755x = 412,301.88 × 164,619
  4. Step 4: Simplify right side
    298,755x = 67,872,723,183.72
  5. Step 5: Solve for x
    x = 67,872,723,183.72/298,755
  6. Step 6: Final answer
    x = 227,185.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.