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Finding the Fourth Proportional to 306,300.82, 422,633.19 and 178,951.81

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Solution

The fourth proportional to 306,300.82, 422,633.19 and 178,951.81 is: 246,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,300.82 : 422,633.19 = 178,951.81 : x
  2. Step 2: Convert to fraction form
    306,300.82/422,633.19 = 178,951.81/x
  3. Step 3: Cross multiply
    306,300.82x = 422,633.19 × 178,951.81
  4. Step 4: Simplify right side
    306,300.82x = 75,630,974,316.57
  5. Step 5: Solve for x
    x = 75,630,974,316.57/306,300.82
  6. Step 6: Final answer
    x = 246,917.31

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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.