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Finding the Fourth Proportional to 419,940.40, 629,910.60 and 153,709.60

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Solution

The fourth proportional to 419,940.40, 629,910.60 and 153,709.60 is: 230,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,940.40 : 629,910.60 = 153,709.60 : x
  2. Step 2: Convert to fraction form
    419,940.40/629,910.60 = 153,709.60/x
  3. Step 3: Cross multiply
    419,940.40x = 629,910.60 × 153,709.60
  4. Step 4: Simplify right side
    419,940.40x = 96,823,306,361.76
  5. Step 5: Solve for x
    x = 96,823,306,361.76/419,940.40
  6. Step 6: Final answer
    x = 230,564.40

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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.