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Finding the Fourth Proportional to 228,405.86, 342,382.78 and 108,251.64

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Solution

The fourth proportional to 228,405.86, 342,382.78 and 108,251.64 is: 162,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,405.86 : 342,382.78 = 108,251.64 : x
  2. Step 2: Convert to fraction form
    228,405.86/342,382.78 = 108,251.64/x
  3. Step 3: Cross multiply
    228,405.86x = 342,382.78 × 108,251.64
  4. Step 4: Simplify right side
    228,405.86x = 37,063,497,578.07
  5. Step 5: Solve for x
    x = 37,063,497,578.07/228,405.86
  6. Step 6: Final answer
    x = 162,270.35

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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.