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Finding the Fourth Proportional to 393,951.47, 543,593.03 and 221,860.42

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Solution

The fourth proportional to 393,951.47, 543,593.03 and 221,860.42 is: 306,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,951.47 : 543,593.03 = 221,860.42 : x
  2. Step 2: Convert to fraction form
    393,951.47/543,593.03 = 221,860.42/x
  3. Step 3: Cross multiply
    393,951.47x = 543,593.03 × 221,860.42
  4. Step 4: Simplify right side
    393,951.47x = 120,601,775,476.59
  5. Step 5: Solve for x
    x = 120,601,775,476.59/393,951.47
  6. Step 6: Final answer
    x = 306,133.59

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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.