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Finding the Fourth Proportional to 644,917.80, 967,814.10 and 419,729.70

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Solution

The fourth proportional to 644,917.80, 967,814.10 and 419,729.70 is: 629,879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,917.80 : 967,814.10 = 419,729.70 : x
  2. Step 2: Convert to fraction form
    644,917.80/967,814.10 = 419,729.70/x
  3. Step 3: Cross multiply
    644,917.80x = 967,814.10 × 419,729.70
  4. Step 4: Simplify right side
    644,917.80x = 406,220,321,848.77
  5. Step 5: Solve for x
    x = 406,220,321,848.77/644,917.80
  6. Step 6: Final answer
    x = 629,879.22

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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.