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Finding the Fourth Proportional to 262,556.80, 394,310.40 and 229,897.60

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Solution

The fourth proportional to 262,556.80, 394,310.40 and 229,897.60 is: 345,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,556.80 : 394,310.40 = 229,897.60 : x
  2. Step 2: Convert to fraction form
    262,556.80/394,310.40 = 229,897.60/x
  3. Step 3: Cross multiply
    262,556.80x = 394,310.40 × 229,897.60
  4. Step 4: Simplify right side
    262,556.80x = 90,651,014,615.04
  5. Step 5: Solve for x
    x = 90,651,014,615.04/262,556.80
  6. Step 6: Final answer
    x = 345,262.49

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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.