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Finding the Fourth Proportional to 306,085.97, 422,516.34 and 204,074.22

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Solution

The fourth proportional to 306,085.97, 422,516.34 and 204,074.22 is: 281,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,085.97 : 422,516.34 = 204,074.22 : x
  2. Step 2: Convert to fraction form
    306,085.97/422,516.34 = 204,074.22/x
  3. Step 3: Cross multiply
    306,085.97x = 422,516.34 × 204,074.22
  4. Step 4: Simplify right side
    306,085.97x = 86,224,692,522.75
  5. Step 5: Solve for x
    x = 86,224,692,522.75/306,085.97
  6. Step 6: Final answer
    x = 281,700.90

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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.