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Finding the Fourth Proportional to 355,885.44, 491,673.48 and 298,423.44

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Solution

The fourth proportional to 355,885.44, 491,673.48 and 298,423.44 is: 412,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,885.44 : 491,673.48 = 298,423.44 : x
  2. Step 2: Convert to fraction form
    355,885.44/491,673.48 = 298,423.44/x
  3. Step 3: Cross multiply
    355,885.44x = 491,673.48 × 298,423.44
  4. Step 4: Simplify right side
    355,885.44x = 146,726,891,258.37
  5. Step 5: Solve for x
    x = 146,726,891,258.37/355,885.44
  6. Step 6: Final answer
    x = 412,286.86

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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.