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Finding the Fourth Proportional to 488,756.80, 733,135.20 and 414,945.55

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Solution

The fourth proportional to 488,756.80, 733,135.20 and 414,945.55 is: 622,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,756.80 : 733,135.20 = 414,945.55 : x
  2. Step 2: Convert to fraction form
    488,756.80/733,135.20 = 414,945.55/x
  3. Step 3: Cross multiply
    488,756.80x = 733,135.20 × 414,945.55
  4. Step 4: Simplify right side
    488,756.80x = 304,211,188,788.36
  5. Step 5: Solve for x
    x = 304,211,188,788.36/488,756.80
  6. Step 6: Final answer
    x = 622,418.33

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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.