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Finding the Fourth Proportional to 300,726.96, 449,843.81 and 229,107.71

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Solution

The fourth proportional to 300,726.96, 449,843.81 and 229,107.71 is: 342,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,726.96 : 449,843.81 = 229,107.71 : x
  2. Step 2: Convert to fraction form
    300,726.96/449,843.81 = 229,107.71/x
  3. Step 3: Cross multiply
    300,726.96x = 449,843.81 × 229,107.71
  4. Step 4: Simplify right side
    300,726.96x = 103,062,681,772.02
  5. Step 5: Solve for x
    x = 103,062,681,772.02/300,726.96
  6. Step 6: Final answer
    x = 342,711.81

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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.