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Finding the Fourth Proportional to 382,200.80, 572,512.80 and 223,949.60

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Solution

The fourth proportional to 382,200.80, 572,512.80 and 223,949.60 is: 335,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,200.80 : 572,512.80 = 223,949.60 : x
  2. Step 2: Convert to fraction form
    382,200.80/572,512.80 = 223,949.60/x
  3. Step 3: Cross multiply
    382,200.80x = 572,512.80 × 223,949.60
  4. Step 4: Simplify right side
    382,200.80x = 128,214,012,554.88
  5. Step 5: Solve for x
    x = 128,214,012,554.88/382,200.80
  6. Step 6: Final answer
    x = 335,462.44

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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.