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Finding the Fourth Proportional to 235,295,266.80, 352,942,900.20 and 209,467,234.20

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Solution

The fourth proportional to 235,295,266.80, 352,942,900.20 and 209,467,234.20 is: 314,200,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,295,266.80 : 352,942,900.20 = 209,467,234.20 : x
  2. Step 2: Convert to fraction form
    235,295,266.80/352,942,900.20 = 209,467,234.20/x
  3. Step 3: Cross multiply
    235,295,266.80x = 352,942,900.20 × 209,467,234.20
  4. Step 4: Simplify right side
    235,295,266.80x = 73,929,973,135,420,624
  5. Step 5: Solve for x
    x = 73,929,973,135,420,624/235,295,266.80
  6. Step 6: Final answer
    x = 314,200,851.30

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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.