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Finding the Fourth Proportional to 801,920, 1,106,649.60 and 444,224

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Solution

The fourth proportional to 801,920, 1,106,649.60 and 444,224 is: 613,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,920 : 1,106,649.60 = 444,224 : x
  2. Step 2: Convert to fraction form
    801,920/1,106,649.60 = 444,224/x
  3. Step 3: Cross multiply
    801,920x = 1,106,649.60 × 444,224
  4. Step 4: Simplify right side
    801,920x = 491,600,311,910.40
  5. Step 5: Solve for x
    x = 491,600,311,910.40/801,920
  6. Step 6: Final answer
    x = 613,029.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.