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Finding the Fourth Proportional to 355,694.28, 490,873.84 and 204,839.88

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Solution

The fourth proportional to 355,694.28, 490,873.84 and 204,839.88 is: 282,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,694.28 : 490,873.84 = 204,839.88 : x
  2. Step 2: Convert to fraction form
    355,694.28/490,873.84 = 204,839.88/x
  3. Step 3: Cross multiply
    355,694.28x = 490,873.84 × 204,839.88
  4. Step 4: Simplify right side
    355,694.28x = 100,550,538,480.74
  5. Step 5: Solve for x
    x = 100,550,538,480.74/355,694.28
  6. Step 6: Final answer
    x = 282,688.10

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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.