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Finding the Fourth Proportional to 299,441.10, 449,380.35 and 210,867.60

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Solution

The fourth proportional to 299,441.10, 449,380.35 and 210,867.60 is: 316,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,441.10 : 449,380.35 = 210,867.60 : x
  2. Step 2: Convert to fraction form
    299,441.10/449,380.35 = 210,867.60/x
  3. Step 3: Cross multiply
    299,441.10x = 449,380.35 × 210,867.60
  4. Step 4: Simplify right side
    299,441.10x = 94,759,755,891.66
  5. Step 5: Solve for x
    x = 94,759,755,891.66/299,441.10
  6. Step 6: Final answer
    x = 316,455.41

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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.