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Finding the Fourth Proportional to 291,213.60, 436,820.16 and 80,851.44

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Solution

The fourth proportional to 291,213.60, 436,820.16 and 80,851.44 is: 121,277.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,213.60 : 436,820.16 = 80,851.44 : x
  2. Step 2: Convert to fraction form
    291,213.60/436,820.16 = 80,851.44/x
  3. Step 3: Cross multiply
    291,213.60x = 436,820.16 × 80,851.44
  4. Step 4: Simplify right side
    291,213.60x = 35,317,538,957.03
  5. Step 5: Solve for x
    x = 35,317,538,957.03/291,213.60
  6. Step 6: Final answer
    x = 121,277.09

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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.