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Finding the Fourth Proportional to 397,765.09, 596,647.64 and 327,496.78

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Solution

The fourth proportional to 397,765.09, 596,647.64 and 327,496.78 is: 491,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,765.09 : 596,647.64 = 327,496.78 : x
  2. Step 2: Convert to fraction form
    397,765.09/596,647.64 = 327,496.78/x
  3. Step 3: Cross multiply
    397,765.09x = 596,647.64 × 327,496.78
  4. Step 4: Simplify right side
    397,765.09x = 195,400,180,894.60
  5. Step 5: Solve for x
    x = 195,400,180,894.60/397,765.09
  6. Step 6: Final answer
    x = 491,245.17

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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.