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Finding the Fourth Proportional to 355,896.30, 491,136.88 and 194,751.37

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Solution

The fourth proportional to 355,896.30, 491,136.88 and 194,751.37 is: 268,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,896.30 : 491,136.88 = 194,751.37 : x
  2. Step 2: Convert to fraction form
    355,896.30/491,136.88 = 194,751.37/x
  3. Step 3: Cross multiply
    355,896.30x = 491,136.88 × 194,751.37
  4. Step 4: Simplify right side
    355,896.30x = 95,649,580,237.53
  5. Step 5: Solve for x
    x = 95,649,580,237.53/355,896.30
  6. Step 6: Final answer
    x = 268,756.88

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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.