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Finding the Fourth Proportional to 306,295.98, 422,626.51 and 178,946.97

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Solution

The fourth proportional to 306,295.98, 422,626.51 and 178,946.97 is: 246,910.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,295.98 : 422,626.51 = 178,946.97 : x
  2. Step 2: Convert to fraction form
    306,295.98/422,626.51 = 178,946.97/x
  3. Step 3: Cross multiply
    306,295.98x = 422,626.51 × 178,946.97
  4. Step 4: Simplify right side
    306,295.98x = 75,627,733,406.17
  5. Step 5: Solve for x
    x = 75,627,733,406.17/306,295.98
  6. Step 6: Final answer
    x = 246,910.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.