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Finding the Fourth Proportional to 807,855.20, 1,211,782.80 and 275,328.80

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Solution

The fourth proportional to 807,855.20, 1,211,782.80 and 275,328.80 is: 412,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,855.20 : 1,211,782.80 = 275,328.80 : x
  2. Step 2: Convert to fraction form
    807,855.20/1,211,782.80 = 275,328.80/x
  3. Step 3: Cross multiply
    807,855.20x = 1,211,782.80 × 275,328.80
  4. Step 4: Simplify right side
    807,855.20x = 333,638,704,184.64
  5. Step 5: Solve for x
    x = 333,638,704,184.64/807,855.20
  6. Step 6: Final answer
    x = 412,993.20

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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.