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Finding the Fourth Proportional to 299,891.52, 449,837.52 and 78,275.52

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Solution

The fourth proportional to 299,891.52, 449,837.52 and 78,275.52 is: 117,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,891.52 : 449,837.52 = 78,275.52 : x
  2. Step 2: Convert to fraction form
    299,891.52/449,837.52 = 78,275.52/x
  3. Step 3: Cross multiply
    299,891.52x = 449,837.52 × 78,275.52
  4. Step 4: Simplify right side
    299,891.52x = 35,211,265,793.51
  5. Step 5: Solve for x
    x = 35,211,265,793.51/299,891.52
  6. Step 6: Final answer
    x = 117,413.34

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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.