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Finding the Fourth Proportional to 1,347,978,511.20, 2,021,967,766.80 and 658,328,181.60

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Solution

The fourth proportional to 1,347,978,511.20, 2,021,967,766.80 and 658,328,181.60 is: 987,492,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,978,511.20 : 2,021,967,766.80 = 658,328,181.60 : x
  2. Step 2: Convert to fraction form
    1,347,978,511.20/2,021,967,766.80 = 658,328,181.60/x
  3. Step 3: Cross multiply
    1,347,978,511.20x = 2,021,967,766.80 × 658,328,181.60
  4. Step 4: Simplify right side
    1,347,978,511.20x = 1,331,118,363,171,256,832
  5. Step 5: Solve for x
    x = 1,331,118,363,171,256,832/1,347,978,511.20
  6. Step 6: Final answer
    x = 987,492,272.40

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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.