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Finding the Fourth Proportional to 299,578.20, 449,432.10 and 99,864.60

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Solution

The fourth proportional to 299,578.20, 449,432.10 and 99,864.60 is: 149,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,578.20 : 449,432.10 = 99,864.60 : x
  2. Step 2: Convert to fraction form
    299,578.20/449,432.10 = 99,864.60/x
  3. Step 3: Cross multiply
    299,578.20x = 449,432.10 × 99,864.60
  4. Step 4: Simplify right side
    299,578.20x = 44,882,356,893.66
  5. Step 5: Solve for x
    x = 44,882,356,893.66/299,578.20
  6. Step 6: Final answer
    x = 149,818.50

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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.