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Finding the Fourth Proportional to 413,819.10, 620,843.85 and 203,463.90

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Solution

The fourth proportional to 413,819.10, 620,843.85 and 203,463.90 is: 305,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,819.10 : 620,843.85 = 203,463.90 : x
  2. Step 2: Convert to fraction form
    413,819.10/620,843.85 = 203,463.90/x
  3. Step 3: Cross multiply
    413,819.10x = 620,843.85 × 203,463.90
  4. Step 4: Simplify right side
    413,819.10x = 126,319,311,012.02
  5. Step 5: Solve for x
    x = 126,319,311,012.02/413,819.10
  6. Step 6: Final answer
    x = 305,252.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.