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Finding the Fourth Proportional to 419,937.80, 629,722 and 153,629.24

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Solution

The fourth proportional to 419,937.80, 629,722 and 153,629.24 is: 230,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,937.80 : 629,722 = 153,629.24 : x
  2. Step 2: Convert to fraction form
    419,937.80/629,722 = 153,629.24/x
  3. Step 3: Cross multiply
    419,937.80x = 629,722 × 153,629.24
  4. Step 4: Simplify right side
    419,937.80x = 96,743,712,271.28
  5. Step 5: Solve for x
    x = 96,743,712,271.28/419,937.80
  6. Step 6: Final answer
    x = 230,376.29

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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.