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Finding the Fourth Proportional to 288,003.21, 397,453.97 and 157,188

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Solution

The fourth proportional to 288,003.21, 397,453.97 and 157,188 is: 216,924.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,003.21 : 397,453.97 = 157,188 : x
  2. Step 2: Convert to fraction form
    288,003.21/397,453.97 = 157,188/x
  3. Step 3: Cross multiply
    288,003.21x = 397,453.97 × 157,188
  4. Step 4: Simplify right side
    288,003.21x = 62,474,993,850.42
  5. Step 5: Solve for x
    x = 62,474,993,850.42/288,003.21
  6. Step 6: Final answer
    x = 216,924.64

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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.