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Finding the Fourth Proportional to 355,127.25, 490,090.23 and 204,224.25

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Solution

The fourth proportional to 355,127.25, 490,090.23 and 204,224.25 is: 281,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,127.25 : 490,090.23 = 204,224.25 : x
  2. Step 2: Convert to fraction form
    355,127.25/490,090.23 = 204,224.25/x
  3. Step 3: Cross multiply
    355,127.25x = 490,090.23 × 204,224.25
  4. Step 4: Simplify right side
    355,127.25x = 100,088,309,654.08
  5. Step 5: Solve for x
    x = 100,088,309,654.08/355,127.25
  6. Step 6: Final answer
    x = 281,837.88

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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.