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Finding the Fourth Proportional to 998,945, 1,498,418.94 and 407,969

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Solution

The fourth proportional to 998,945, 1,498,418.94 and 407,969 is: 611,954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,945 : 1,498,418.94 = 407,969 : x
  2. Step 2: Convert to fraction form
    998,945/1,498,418.94 = 407,969/x
  3. Step 3: Cross multiply
    998,945x = 1,498,418.94 × 407,969
  4. Step 4: Simplify right side
    998,945x = 611,308,476,532.86
  5. Step 5: Solve for x
    x = 611,308,476,532.86/998,945
  6. Step 6: Final answer
    x = 611,954.09

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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.