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Finding the Fourth Proportional to 299,700.40, 449,550.60 and 142,236.40

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Solution

The fourth proportional to 299,700.40, 449,550.60 and 142,236.40 is: 213,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,700.40 : 449,550.60 = 142,236.40 : x
  2. Step 2: Convert to fraction form
    299,700.40/449,550.60 = 142,236.40/x
  3. Step 3: Cross multiply
    299,700.40x = 449,550.60 × 142,236.40
  4. Step 4: Simplify right side
    299,700.40x = 63,942,458,961.84
  5. Step 5: Solve for x
    x = 63,942,458,961.84/299,700.40
  6. Step 6: Final answer
    x = 213,354.60

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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.