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Finding the Fourth Proportional to 299,861.25, 449,515.08 and 149,971.11

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Solution

The fourth proportional to 299,861.25, 449,515.08 and 149,971.11 is: 224,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,861.25 : 449,515.08 = 149,971.11 : x
  2. Step 2: Convert to fraction form
    299,861.25/449,515.08 = 149,971.11/x
  3. Step 3: Cross multiply
    299,861.25x = 449,515.08 × 149,971.11
  4. Step 4: Simplify right side
    299,861.25x = 67,414,275,509.34
  5. Step 5: Solve for x
    x = 67,414,275,509.34/299,861.25
  6. Step 6: Final answer
    x = 224,818.23

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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.