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Finding the Fourth Proportional to 298,969.38, 412,344.36 and 191,549.43

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Solution

The fourth proportional to 298,969.38, 412,344.36 and 191,549.43 is: 264,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,969.38 : 412,344.36 = 191,549.43 : x
  2. Step 2: Convert to fraction form
    298,969.38/412,344.36 = 191,549.43/x
  3. Step 3: Cross multiply
    298,969.38x = 412,344.36 × 191,549.43
  4. Step 4: Simplify right side
    298,969.38x = 78,984,327,121.71
  5. Step 5: Solve for x
    x = 78,984,327,121.71/298,969.38
  6. Step 6: Final answer
    x = 264,188.68

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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.