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Finding the Fourth Proportional to 355,191.96, 490,165.98 and 204,279

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Solution

The fourth proportional to 355,191.96, 490,165.98 and 204,279 is: 281,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,191.96 : 490,165.98 = 204,279 : x
  2. Step 2: Convert to fraction form
    355,191.96/490,165.98 = 204,279/x
  3. Step 3: Cross multiply
    355,191.96x = 490,165.98 × 204,279
  4. Step 4: Simplify right side
    355,191.96x = 100,130,616,228.42
  5. Step 5: Solve for x
    x = 100,130,616,228.42/355,191.96
  6. Step 6: Final answer
    x = 281,905.64

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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.