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Finding the Fourth Proportional to 299,487.70, 449,231.55 and 99,814.60

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Solution

The fourth proportional to 299,487.70, 449,231.55 and 99,814.60 is: 149,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,487.70 : 449,231.55 = 99,814.60 : x
  2. Step 2: Convert to fraction form
    299,487.70/449,231.55 = 99,814.60/x
  3. Step 3: Cross multiply
    299,487.70x = 449,231.55 × 99,814.60
  4. Step 4: Simplify right side
    299,487.70x = 44,839,867,470.63
  5. Step 5: Solve for x
    x = 44,839,867,470.63/299,487.70
  6. Step 6: Final answer
    x = 149,721.90

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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.