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Finding the Fourth Proportional to 355,729.55, 490,896.36 and 194,581.13

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Solution

The fourth proportional to 355,729.55, 490,896.36 and 194,581.13 is: 268,516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,729.55 : 490,896.36 = 194,581.13 : x
  2. Step 2: Convert to fraction form
    355,729.55/490,896.36 = 194,581.13/x
  3. Step 3: Cross multiply
    355,729.55x = 490,896.36 × 194,581.13
  4. Step 4: Simplify right side
    355,729.55x = 95,519,168,441.69
  5. Step 5: Solve for x
    x = 95,519,168,441.69/355,729.55
  6. Step 6: Final answer
    x = 268,516.26

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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.