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Finding the Fourth Proportional to 382,832, 528,299.16 and 213,062.48

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Solution

The fourth proportional to 382,832, 528,299.16 and 213,062.48 is: 294,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,832 : 528,299.16 = 213,062.48 : x
  2. Step 2: Convert to fraction form
    382,832/528,299.16 = 213,062.48/x
  3. Step 3: Cross multiply
    382,832x = 528,299.16 × 213,062.48
  4. Step 4: Simplify right side
    382,832x = 112,560,729,211.52
  5. Step 5: Solve for x
    x = 112,560,729,211.52/382,832
  6. Step 6: Final answer
    x = 294,021.21

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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.