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Finding the Fourth Proportional to 361,814.34, 499,334.44 and 200,721.28

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Solution

The fourth proportional to 361,814.34, 499,334.44 and 200,721.28 is: 277,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,814.34 : 499,334.44 = 200,721.28 : x
  2. Step 2: Convert to fraction form
    361,814.34/499,334.44 = 200,721.28/x
  3. Step 3: Cross multiply
    361,814.34x = 499,334.44 × 200,721.28
  4. Step 4: Simplify right side
    361,814.34x = 100,227,047,944.88
  5. Step 5: Solve for x
    x = 100,227,047,944.88/361,814.34
  6. Step 6: Final answer
    x = 277,012.37

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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.