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Finding the Fourth Proportional to 300,728.90, 414,986.44 and 164,762.66

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Solution

The fourth proportional to 300,728.90, 414,986.44 and 164,762.66 is: 227,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,728.90 : 414,986.44 = 164,762.66 : x
  2. Step 2: Convert to fraction form
    300,728.90/414,986.44 = 164,762.66/x
  3. Step 3: Cross multiply
    300,728.90x = 414,986.44 × 164,762.66
  4. Step 4: Simplify right side
    300,728.90x = 68,374,268,318.52
  5. Step 5: Solve for x
    x = 68,374,268,318.52/300,728.90
  6. Step 6: Final answer
    x = 227,361.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.