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Finding the Fourth Proportional to 355,716.56, 490,878.41 and 194,568.12

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Solution

The fourth proportional to 355,716.56, 490,878.41 and 194,568.12 is: 268,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,716.56 : 490,878.41 = 194,568.12 : x
  2. Step 2: Convert to fraction form
    355,716.56/490,878.41 = 194,568.12/x
  3. Step 3: Cross multiply
    355,716.56x = 490,878.41 × 194,568.12
  4. Step 4: Simplify right side
    355,716.56x = 95,509,289,382.29
  5. Step 5: Solve for x
    x = 95,509,289,382.29/355,716.56
  6. Step 6: Final answer
    x = 268,498.29

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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.