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Finding the Fourth Proportional to 450,137,601.60, 675,206,402.40 and 419,904,513.60

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Solution

The fourth proportional to 450,137,601.60, 675,206,402.40 and 419,904,513.60 is: 629,856,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,137,601.60 : 675,206,402.40 = 419,904,513.60 : x
  2. Step 2: Convert to fraction form
    450,137,601.60/675,206,402.40 = 419,904,513.60/x
  3. Step 3: Cross multiply
    450,137,601.60x = 675,206,402.40 × 419,904,513.60
  4. Step 4: Simplify right side
    450,137,601.60x = 283,522,215,979,377,888
  5. Step 5: Solve for x
    x = 283,522,215,979,377,888/450,137,601.60
  6. Step 6: Final answer
    x = 629,856,770.40

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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.