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Finding the Fourth Proportional to 1,259,788.22, 1,890,466.01 and 511,834.22

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Solution

The fourth proportional to 1,259,788.22, 1,890,466.01 and 511,834.22 is: 768,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,788.22 : 1,890,466.01 = 511,834.22 : x
  2. Step 2: Convert to fraction form
    1,259,788.22/1,890,466.01 = 511,834.22/x
  3. Step 3: Cross multiply
    1,259,788.22x = 1,890,466.01 × 511,834.22
  4. Step 4: Simplify right side
    1,259,788.22x = 967,605,204,735.39
  5. Step 5: Solve for x
    x = 967,605,204,735.39/1,259,788.22
  6. Step 6: Final answer
    x = 768,069.73

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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.