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Finding the Fourth Proportional to 200,609,378.52, 300,914,067.78 and 160,474,954.20

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Solution

The fourth proportional to 200,609,378.52, 300,914,067.78 and 160,474,954.20 is: 240,712,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,609,378.52 : 300,914,067.78 = 160,474,954.20 : x
  2. Step 2: Convert to fraction form
    200,609,378.52/300,914,067.78 = 160,474,954.20/x
  3. Step 3: Cross multiply
    200,609,378.52x = 300,914,067.78 × 160,474,954.20
  4. Step 4: Simplify right side
    200,609,378.52x = 48,289,171,245,131,184
  5. Step 5: Solve for x
    x = 48,289,171,245,131,184/200,609,378.52
  6. Step 6: Final answer
    x = 240,712,431.30

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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.