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Finding the Fourth Proportional to 356,031.73, 491,311.54 and 203,119.42

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Solution

The fourth proportional to 356,031.73, 491,311.54 and 203,119.42 is: 280,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,031.73 : 491,311.54 = 203,119.42 : x
  2. Step 2: Convert to fraction form
    356,031.73/491,311.54 = 203,119.42/x
  3. Step 3: Cross multiply
    356,031.73x = 491,311.54 × 203,119.42
  4. Step 4: Simplify right side
    356,031.73x = 99,794,915,044.11
  5. Step 5: Solve for x
    x = 99,794,915,044.11/356,031.73
  6. Step 6: Final answer
    x = 280,297.81

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1.5x scale

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.