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Finding the Fourth Proportional to 299,398.12, 449,000 and 99,664.88

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Solution

The fourth proportional to 299,398.12, 449,000 and 99,664.88 is: 149,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,398.12 : 449,000 = 99,664.88 : x
  2. Step 2: Convert to fraction form
    299,398.12/449,000 = 99,664.88/x
  3. Step 3: Cross multiply
    299,398.12x = 449,000 × 99,664.88
  4. Step 4: Simplify right side
    299,398.12x = 44,749,531,120
  5. Step 5: Solve for x
    x = 44,749,531,120/299,398.12
  6. Step 6: Final answer
    x = 149,464.97

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1.5x scale

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.