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Finding the Fourth Proportional to 419,911,497.40, 629,867,246.10 and 266,100,662.20

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Solution

The fourth proportional to 419,911,497.40, 629,867,246.10 and 266,100,662.20 is: 399,150,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,911,497.40 : 629,867,246.10 = 266,100,662.20 : x
  2. Step 2: Convert to fraction form
    419,911,497.40/629,867,246.10 = 266,100,662.20/x
  3. Step 3: Cross multiply
    419,911,497.40x = 629,867,246.10 × 266,100,662.20
  4. Step 4: Simplify right side
    419,911,497.40x = 167,608,091,285,300,352
  5. Step 5: Solve for x
    x = 167,608,091,285,300,352/419,911,497.40
  6. Step 6: Final answer
    x = 399,150,993.30

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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.