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Finding the Fourth Proportional to 419,907,616.20, 629,861,424.30 and 396,099,059.40

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Solution

The fourth proportional to 419,907,616.20, 629,861,424.30 and 396,099,059.40 is: 594,148,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907,616.20 : 629,861,424.30 = 396,099,059.40 : x
  2. Step 2: Convert to fraction form
    419,907,616.20/629,861,424.30 = 396,099,059.40/x
  3. Step 3: Cross multiply
    419,907,616.20x = 629,861,424.30 × 396,099,059.40
  4. Step 4: Simplify right side
    419,907,616.20x = 249,487,517,717,574,272
  5. Step 5: Solve for x
    x = 249,487,517,717,574,272/419,907,616.20
  6. Step 6: Final answer
    x = 594,148,589.10

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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.