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Finding the Fourth Proportional to 548,745.80, 768,769 and 548,745.80

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Solution

The fourth proportional to 548,745.80, 768,769 and 548,745.80 is: 768,769

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,745.80 : 768,769 = 548,745.80 : x
  2. Step 2: Convert to fraction form
    548,745.80/768,769 = 548,745.80/x
  3. Step 3: Cross multiply
    548,745.80x = 768,769 × 548,745.80
  4. Step 4: Simplify right side
    548,745.80x = 421,858,759,920.20
  5. Step 5: Solve for x
    x = 421,858,759,920.20/548,745.80
  6. Step 6: Final answer
    x = 768,769

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.