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Finding the Fourth Proportional to 413,504.21, 620,380.83 and 129,183.28

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Solution

The fourth proportional to 413,504.21, 620,380.83 and 129,183.28 is: 193,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,504.21 : 620,380.83 = 129,183.28 : x
  2. Step 2: Convert to fraction form
    413,504.21/620,380.83 = 129,183.28/x
  3. Step 3: Cross multiply
    413,504.21x = 620,380.83 × 129,183.28
  4. Step 4: Simplify right side
    413,504.21x = 80,142,830,468.52
  5. Step 5: Solve for x
    x = 80,142,830,468.52/413,504.21
  6. Step 6: Final answer
    x = 193,813.82

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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.