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Finding the Fourth Proportional to 380,605.44, 570,908.16 and 131,268

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Solution

The fourth proportional to 380,605.44, 570,908.16 and 131,268 is: 196,902

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,605.44 : 570,908.16 = 131,268 : x
  2. Step 2: Convert to fraction form
    380,605.44/570,908.16 = 131,268/x
  3. Step 3: Cross multiply
    380,605.44x = 570,908.16 × 131,268
  4. Step 4: Simplify right side
    380,605.44x = 74,941,972,346.88
  5. Step 5: Solve for x
    x = 74,941,972,346.88/380,605.44
  6. Step 6: Final answer
    x = 196,902

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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.