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Finding the Fourth Proportional to 393,532.86, 543,072.84 and 223,767

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Solution

The fourth proportional to 393,532.86, 543,072.84 and 223,767 is: 308,797.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,532.86 : 543,072.84 = 223,767 : x
  2. Step 2: Convert to fraction form
    393,532.86/543,072.84 = 223,767/x
  3. Step 3: Cross multiply
    393,532.86x = 543,072.84 × 223,767
  4. Step 4: Simplify right side
    393,532.86x = 121,521,780,188.28
  5. Step 5: Solve for x
    x = 121,521,780,188.28/393,532.86
  6. Step 6: Final answer
    x = 308,797.03

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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.