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Finding the Fourth Proportional to 492,097,122.60, 738,145,683.90 and 287,519,893.80

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Solution

The fourth proportional to 492,097,122.60, 738,145,683.90 and 287,519,893.80 is: 431,279,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,097,122.60 : 738,145,683.90 = 287,519,893.80 : x
  2. Step 2: Convert to fraction form
    492,097,122.60/738,145,683.90 = 287,519,893.80/x
  3. Step 3: Cross multiply
    492,097,122.60x = 738,145,683.90 × 287,519,893.80
  4. Step 4: Simplify right side
    492,097,122.60x = 212,231,568,643,856,384
  5. Step 5: Solve for x
    x = 212,231,568,643,856,384/492,097,122.60
  6. Step 6: Final answer
    x = 431,279,840.70

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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.