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Finding the Fourth Proportional to 382,786.88, 528,245.90 and 213,021.14

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Solution

The fourth proportional to 382,786.88, 528,245.90 and 213,021.14 is: 293,969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,786.88 : 528,245.90 = 213,021.14 : x
  2. Step 2: Convert to fraction form
    382,786.88/528,245.90 = 213,021.14/x
  3. Step 3: Cross multiply
    382,786.88x = 528,245.90 × 213,021.14
  4. Step 4: Simplify right side
    382,786.88x = 112,527,540,111.99
  5. Step 5: Solve for x
    x = 112,527,540,111.99/382,786.88
  6. Step 6: Final answer
    x = 293,969.17

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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.