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Finding the Fourth Proportional to 767,361.60, 1,151,040.60 and 206,396.64

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Solution

The fourth proportional to 767,361.60, 1,151,040.60 and 206,396.64 is: 309,594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,361.60 : 1,151,040.60 = 206,396.64 : x
  2. Step 2: Convert to fraction form
    767,361.60/1,151,040.60 = 206,396.64/x
  3. Step 3: Cross multiply
    767,361.60x = 1,151,040.60 × 206,396.64
  4. Step 4: Simplify right side
    767,361.60x = 237,570,912,343.58
  5. Step 5: Solve for x
    x = 237,570,912,343.58/767,361.60
  6. Step 6: Final answer
    x = 309,594.48

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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.