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Finding the Fourth Proportional to 419,650.16, 629,661.33 and 219,923.12

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Solution

The fourth proportional to 419,650.16, 629,661.33 and 219,923.12 is: 329,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,650.16 : 629,661.33 = 219,923.12 : x
  2. Step 2: Convert to fraction form
    419,650.16/629,661.33 = 219,923.12/x
  3. Step 3: Cross multiply
    419,650.16x = 629,661.33 × 219,923.12
  4. Step 4: Simplify right side
    419,650.16x = 138,477,084,236.95
  5. Step 5: Solve for x
    x = 138,477,084,236.95/419,650.16
  6. Step 6: Final answer
    x = 329,982.20

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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.