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Finding the Fourth Proportional to 355,903.01, 491,146.20 and 194,758.09

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Solution

The fourth proportional to 355,903.01, 491,146.20 and 194,758.09 is: 268,766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,903.01 : 491,146.20 = 194,758.09 : x
  2. Step 2: Convert to fraction form
    355,903.01/491,146.20 = 194,758.09/x
  3. Step 3: Cross multiply
    355,903.01x = 491,146.20 × 194,758.09
  4. Step 4: Simplify right side
    355,903.01x = 95,654,695,706.35
  5. Step 5: Solve for x
    x = 95,654,695,706.35/355,903.01
  6. Step 6: Final answer
    x = 268,766.19

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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.