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Finding the Fourth Proportional to 419,830.98, 629,749.30 and 153,481.92

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Solution

The fourth proportional to 419,830.98, 629,749.30 and 153,481.92 is: 230,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,830.98 : 629,749.30 = 153,481.92 : x
  2. Step 2: Convert to fraction form
    419,830.98/629,749.30 = 153,481.92/x
  3. Step 3: Cross multiply
    419,830.98x = 629,749.30 × 153,481.92
  4. Step 4: Simplify right side
    419,830.98x = 96,655,131,682.66
  5. Step 5: Solve for x
    x = 96,655,131,682.66/419,830.98
  6. Step 6: Final answer
    x = 230,223.91

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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.