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Finding the Fourth Proportional to 1,761,948.78, 2,642,923.20 and 764,676.78

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Solution

The fourth proportional to 1,761,948.78, 2,642,923.20 and 764,676.78 is: 1,147,015.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761,948.78 : 2,642,923.20 = 764,676.78 : x
  2. Step 2: Convert to fraction form
    1,761,948.78/2,642,923.20 = 764,676.78/x
  3. Step 3: Cross multiply
    1,761,948.78x = 2,642,923.20 × 764,676.78
  4. Step 4: Simplify right side
    1,761,948.78x = 2,020,982,002,363.30
  5. Step 5: Solve for x
    x = 2,020,982,002,363.30/1,761,948.78
  6. Step 6: Final answer
    x = 1,147,015.18

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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.