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Finding the Fourth Proportional to 306,517.64, 422,895.78 and 185,620.20

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Solution

The fourth proportional to 306,517.64, 422,895.78 and 185,620.20 is: 256,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,517.64 : 422,895.78 = 185,620.20 : x
  2. Step 2: Convert to fraction form
    306,517.64/422,895.78 = 185,620.20/x
  3. Step 3: Cross multiply
    306,517.64x = 422,895.78 × 185,620.20
  4. Step 4: Simplify right side
    306,517.64x = 78,497,999,262.76
  5. Step 5: Solve for x
    x = 78,497,999,262.76/306,517.64
  6. Step 6: Final answer
    x = 256,096.19

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1.5x scale

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.