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Finding the Fourth Proportional to 893,662,917.20, 1,340,494,375.80 and 829,165,662.80

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Solution

The fourth proportional to 893,662,917.20, 1,340,494,375.80 and 829,165,662.80 is: 1,243,748,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,662,917.20 : 1,340,494,375.80 = 829,165,662.80 : x
  2. Step 2: Convert to fraction form
    893,662,917.20/1,340,494,375.80 = 829,165,662.80/x
  3. Step 3: Cross multiply
    893,662,917.20x = 1,340,494,375.80 × 829,165,662.80
  4. Step 4: Simplify right side
    893,662,917.20x = 1,111,491,907,589,879,168
  5. Step 5: Solve for x
    x = 1,111,491,907,589,879,168/893,662,917.20
  6. Step 6: Final answer
    x = 1,243,748,494.20

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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.