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Finding the Fourth Proportional to 299,383.20, 449,193.60 and 121,903.20

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Solution

The fourth proportional to 299,383.20, 449,193.60 and 121,903.20 is: 182,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,383.20 : 449,193.60 = 121,903.20 : x
  2. Step 2: Convert to fraction form
    299,383.20/449,193.60 = 121,903.20/x
  3. Step 3: Cross multiply
    299,383.20x = 449,193.60 × 121,903.20
  4. Step 4: Simplify right side
    299,383.20x = 54,758,137,259.52
  5. Step 5: Solve for x
    x = 54,758,137,259.52/299,383.20
  6. Step 6: Final answer
    x = 182,903.17

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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.