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Finding the Fourth Proportional to 299,709.20, 449,736.60 and 112,854.80

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Solution

The fourth proportional to 299,709.20, 449,736.60 and 112,854.80 is: 169,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,709.20 : 449,736.60 = 112,854.80 : x
  2. Step 2: Convert to fraction form
    299,709.20/449,736.60 = 112,854.80/x
  3. Step 3: Cross multiply
    299,709.20x = 449,736.60 × 112,854.80
  4. Step 4: Simplify right side
    299,709.20x = 50,754,934,045.68
  5. Step 5: Solve for x
    x = 50,754,934,045.68/299,709.20
  6. Step 6: Final answer
    x = 169,347.27

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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.