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Finding the Fourth Proportional to 299,570.60, 449,230.94 and 121,957

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Solution

The fourth proportional to 299,570.60, 449,230.94 and 121,957 is: 182,884.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,570.60 : 449,230.94 = 121,957 : x
  2. Step 2: Convert to fraction form
    299,570.60/449,230.94 = 121,957/x
  3. Step 3: Cross multiply
    299,570.60x = 449,230.94 × 121,957
  4. Step 4: Simplify right side
    299,570.60x = 54,786,857,749.58
  5. Step 5: Solve for x
    x = 54,786,857,749.58/299,570.60
  6. Step 6: Final answer
    x = 182,884.63

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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.