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Finding the Fourth Proportional to 419,865.02, 629,732.60 and 153,563.26

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Solution

The fourth proportional to 419,865.02, 629,732.60 and 153,563.26 is: 230,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,865.02 : 629,732.60 = 153,563.26 : x
  2. Step 2: Convert to fraction form
    419,865.02/629,732.60 = 153,563.26/x
  3. Step 3: Cross multiply
    419,865.02x = 629,732.60 × 153,563.26
  4. Step 4: Simplify right side
    419,865.02x = 96,703,790,984.28
  5. Step 5: Solve for x
    x = 96,703,790,984.28/419,865.02
  6. Step 6: Final answer
    x = 230,321.14

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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.