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Finding the Fourth Proportional to 262,197,604.80, 393,744,304.80 and 171,722,289.60

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Solution

The fourth proportional to 262,197,604.80, 393,744,304.80 and 171,722,289.60 is: 257,876,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,197,604.80 : 393,744,304.80 = 171,722,289.60 : x
  2. Step 2: Convert to fraction form
    262,197,604.80/393,744,304.80 = 171,722,289.60/x
  3. Step 3: Cross multiply
    262,197,604.80x = 393,744,304.80 × 171,722,289.60
  4. Step 4: Simplify right side
    262,197,604.80x = 67,614,673,537,216,272
  5. Step 5: Solve for x
    x = 67,614,673,537,216,272/262,197,604.80
  6. Step 6: Final answer
    x = 257,876,778.05

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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.