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Finding the Fourth Proportional to 825,830.20, 1,238,745.30 and 825,830.20

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Solution

The fourth proportional to 825,830.20, 1,238,745.30 and 825,830.20 is: 1,238,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,830.20 : 1,238,745.30 = 825,830.20 : x
  2. Step 2: Convert to fraction form
    825,830.20/1,238,745.30 = 825,830.20/x
  3. Step 3: Cross multiply
    825,830.20x = 1,238,745.30 × 825,830.20
  4. Step 4: Simplify right side
    825,830.20x = 1,022,993,278,848.06
  5. Step 5: Solve for x
    x = 1,022,993,278,848.06/825,830.20
  6. Step 6: Final answer
    x = 1,238,745.30

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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.