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Finding the Fourth Proportional to 419,904,327.20, 629,856,490.80 and 386,647,930.40

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Solution

The fourth proportional to 419,904,327.20, 629,856,490.80 and 386,647,930.40 is: 579,971,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904,327.20 : 629,856,490.80 = 386,647,930.40 : x
  2. Step 2: Convert to fraction form
    419,904,327.20/629,856,490.80 = 386,647,930.40/x
  3. Step 3: Cross multiply
    419,904,327.20x = 629,856,490.80 × 386,647,930.40
  4. Step 4: Simplify right side
    419,904,327.20x = 243,532,708,616,826,592
  5. Step 5: Solve for x
    x = 243,532,708,616,826,592/419,904,327.20
  6. Step 6: Final answer
    x = 579,971,895.60

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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.