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Finding the Fourth Proportional to 382,940.99, 528,529.43 and 221,796

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Solution

The fourth proportional to 382,940.99, 528,529.43 and 221,796 is: 306,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,940.99 : 528,529.43 = 221,796 : x
  2. Step 2: Convert to fraction form
    382,940.99/528,529.43 = 221,796/x
  3. Step 3: Cross multiply
    382,940.99x = 528,529.43 × 221,796
  4. Step 4: Simplify right side
    382,940.99x = 117,225,713,456.28
  5. Step 5: Solve for x
    x = 117,225,713,456.28/382,940.99
  6. Step 6: Final answer
    x = 306,119.52

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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.