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Finding the Fourth Proportional to 299,080.35, 448,233 and 121,490.49

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Solution

The fourth proportional to 299,080.35, 448,233 and 121,490.49 is: 182,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,080.35 : 448,233 = 121,490.49 : x
  2. Step 2: Convert to fraction form
    299,080.35/448,233 = 121,490.49/x
  3. Step 3: Cross multiply
    299,080.35x = 448,233 × 121,490.49
  4. Step 4: Simplify right side
    299,080.35x = 54,456,046,804.17
  5. Step 5: Solve for x
    x = 54,456,046,804.17/299,080.35
  6. Step 6: Final answer
    x = 182,078.32

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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.