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Finding the Fourth Proportional to 355,903.71, 491,147.17 and 194,758.79

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Solution

The fourth proportional to 355,903.71, 491,147.17 and 194,758.79 is: 268,767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,903.71 : 491,147.17 = 194,758.79 : x
  2. Step 2: Convert to fraction form
    355,903.71/491,147.17 = 194,758.79/x
  3. Step 3: Cross multiply
    355,903.71x = 491,147.17 × 194,758.79
  4. Step 4: Simplify right side
    355,903.71x = 95,655,229,282.10
  5. Step 5: Solve for x
    x = 95,655,229,282.10/355,903.71
  6. Step 6: Final answer
    x = 268,767.16

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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.