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Finding the Fourth Proportional to 523,892,841.36, 786,384,321.44 and 385,874,292.15

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Solution

The fourth proportional to 523,892,841.36, 786,384,321.44 and 385,874,292.15 is: 579,212,902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,892,841.36 : 786,384,321.44 = 385,874,292.15 : x
  2. Step 2: Convert to fraction form
    523,892,841.36/786,384,321.44 = 385,874,292.15/x
  3. Step 3: Cross multiply
    523,892,841.36x = 786,384,321.44 × 385,874,292.15
  4. Step 4: Simplify right side
    523,892,841.36x = 303,445,493,392,676,800
  5. Step 5: Solve for x
    x = 303,445,493,392,676,800/523,892,841.36
  6. Step 6: Final answer
    x = 579,212,902.79

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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.