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Finding the Fourth Proportional to 444,218.40, 665,018.64 and 285,976.80

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Solution

The fourth proportional to 444,218.40, 665,018.64 and 285,976.80 is: 428,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,218.40 : 665,018.64 = 285,976.80 : x
  2. Step 2: Convert to fraction form
    444,218.40/665,018.64 = 285,976.80/x
  3. Step 3: Cross multiply
    444,218.40x = 665,018.64 × 285,976.80
  4. Step 4: Simplify right side
    444,218.40x = 190,179,902,607.55
  5. Step 5: Solve for x
    x = 190,179,902,607.55/444,218.40
  6. Step 6: Final answer
    x = 428,122.52

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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.