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Finding the Fourth Proportional to 212,652,090.60, 318,978,135.90 and 180,907,348.20

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Solution

The fourth proportional to 212,652,090.60, 318,978,135.90 and 180,907,348.20 is: 271,361,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,652,090.60 : 318,978,135.90 = 180,907,348.20 : x
  2. Step 2: Convert to fraction form
    212,652,090.60/318,978,135.90 = 180,907,348.20/x
  3. Step 3: Cross multiply
    212,652,090.60x = 318,978,135.90 × 180,907,348.20
  4. Step 4: Simplify right side
    212,652,090.60x = 57,705,488,699,448,216
  5. Step 5: Solve for x
    x = 57,705,488,699,448,216/212,652,090.60
  6. Step 6: Final answer
    x = 271,361,022.30

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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.