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Finding the Fourth Proportional to 419,408.48, 629,383.37 and 153,146.70

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Solution

The fourth proportional to 419,408.48, 629,383.37 and 153,146.70 is: 229,818.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,408.48 : 629,383.37 = 153,146.70 : x
  2. Step 2: Convert to fraction form
    419,408.48/629,383.37 = 153,146.70/x
  3. Step 3: Cross multiply
    419,408.48x = 629,383.37 × 153,146.70
  4. Step 4: Simplify right side
    419,408.48x = 96,387,985,384.65
  5. Step 5: Solve for x
    x = 96,387,985,384.65/419,408.48
  6. Step 6: Final answer
    x = 229,818.87

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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.