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Finding the Fourth Proportional to 299,702.39, 447,367.37 and 261,867.96

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Solution

The fourth proportional to 299,702.39, 447,367.37 and 261,867.96 is: 390,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,702.39 : 447,367.37 = 261,867.96 : x
  2. Step 2: Convert to fraction form
    299,702.39/447,367.37 = 261,867.96/x
  3. Step 3: Cross multiply
    299,702.39x = 447,367.37 × 261,867.96
  4. Step 4: Simplify right side
    299,702.39x = 117,151,179,243.13
  5. Step 5: Solve for x
    x = 117,151,179,243.13/299,702.39
  6. Step 6: Final answer
    x = 390,891.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.