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Finding the Fourth Proportional to 356,004, 491,286.96 and 197,028

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Solution

The fourth proportional to 356,004, 491,286.96 and 197,028 is: 271,899.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,004 : 491,286.96 = 197,028 : x
  2. Step 2: Convert to fraction form
    356,004/491,286.96 = 197,028/x
  3. Step 3: Cross multiply
    356,004x = 491,286.96 × 197,028
  4. Step 4: Simplify right side
    356,004x = 96,797,287,154.88
  5. Step 5: Solve for x
    x = 96,797,287,154.88/356,004
  6. Step 6: Final answer
    x = 271,899.44

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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.