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Finding the Fourth Proportional to 299,449.25, 448,780.17 and 147,729.77

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Solution

The fourth proportional to 299,449.25, 448,780.17 and 147,729.77 is: 221,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,449.25 : 448,780.17 = 147,729.77 : x
  2. Step 2: Convert to fraction form
    299,449.25/448,780.17 = 147,729.77/x
  3. Step 3: Cross multiply
    299,449.25x = 448,780.17 × 147,729.77
  4. Step 4: Simplify right side
    299,449.25x = 66,298,191,294.66
  5. Step 5: Solve for x
    x = 66,298,191,294.66/299,449.25
  6. Step 6: Final answer
    x = 221,400.43

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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.