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Finding the Fourth Proportional to 355,903.21, 491,146.47 and 194,758.29

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Solution

The fourth proportional to 355,903.21, 491,146.47 and 194,758.29 is: 268,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,903.21 : 491,146.47 = 194,758.29 : x
  2. Step 2: Convert to fraction form
    355,903.21/491,146.47 = 194,758.29/x
  3. Step 3: Cross multiply
    355,903.21x = 491,146.47 × 194,758.29
  4. Step 4: Simplify right side
    355,903.21x = 95,654,846,636.74
  5. Step 5: Solve for x
    x = 95,654,846,636.74/355,903.21
  6. Step 6: Final answer
    x = 268,766.46

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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.