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Finding the Fourth Proportional to 356,031.60, 491,311.37 and 203,119.29

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Solution

The fourth proportional to 356,031.60, 491,311.37 and 203,119.29 is: 280,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,031.60 : 491,311.37 = 203,119.29 : x
  2. Step 2: Convert to fraction form
    356,031.60/491,311.37 = 203,119.29/x
  3. Step 3: Cross multiply
    356,031.60x = 491,311.37 × 203,119.29
  4. Step 4: Simplify right side
    356,031.60x = 99,794,815,627.73
  5. Step 5: Solve for x
    x = 99,794,815,627.73/356,031.60
  6. Step 6: Final answer
    x = 280,297.64

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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.