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Finding the Fourth Proportional to 355,116.34, 490,074.96 and 204,213.34

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Solution

The fourth proportional to 355,116.34, 490,074.96 and 204,213.34 is: 281,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,116.34 : 490,074.96 = 204,213.34 : x
  2. Step 2: Convert to fraction form
    355,116.34/490,074.96 = 204,213.34/x
  3. Step 3: Cross multiply
    355,116.34x = 490,074.96 × 204,213.34
  4. Step 4: Simplify right side
    355,116.34x = 100,079,844,431.97
  5. Step 5: Solve for x
    x = 100,079,844,431.97/355,116.34
  6. Step 6: Final answer
    x = 281,822.70

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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.