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Finding the Fourth Proportional to 820,577.60, 1,230,751.20 and 259,668.80

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Solution

The fourth proportional to 820,577.60, 1,230,751.20 and 259,668.80 is: 389,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,577.60 : 1,230,751.20 = 259,668.80 : x
  2. Step 2: Convert to fraction form
    820,577.60/1,230,751.20 = 259,668.80/x
  3. Step 3: Cross multiply
    820,577.60x = 1,230,751.20 × 259,668.80
  4. Step 4: Simplify right side
    820,577.60x = 319,587,687,202.56
  5. Step 5: Solve for x
    x = 319,587,687,202.56/820,577.60
  6. Step 6: Final answer
    x = 389,466.75

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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.