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Finding the Fourth Proportional to 299,657.80, 449,542.86 and 99,959.32

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Solution

The fourth proportional to 299,657.80, 449,542.86 and 99,959.32 is: 149,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,657.80 : 449,542.86 = 99,959.32 : x
  2. Step 2: Convert to fraction form
    299,657.80/449,542.86 = 99,959.32/x
  3. Step 3: Cross multiply
    299,657.80x = 449,542.86 × 99,959.32
  4. Step 4: Simplify right side
    299,657.80x = 44,935,998,596.46
  5. Step 5: Solve for x
    x = 44,935,998,596.46/299,657.80
  6. Step 6: Final answer
    x = 149,957.71

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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.