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Finding the Fourth Proportional to 393,880.86, 543,496.59 and 221,773.86

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Solution

The fourth proportional to 393,880.86, 543,496.59 and 221,773.86 is: 306,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,880.86 : 543,496.59 = 221,773.86 : x
  2. Step 2: Convert to fraction form
    393,880.86/543,496.59 = 221,773.86/x
  3. Step 3: Cross multiply
    393,880.86x = 543,496.59 × 221,773.86
  4. Step 4: Simplify right side
    393,880.86x = 120,533,336,661.14
  5. Step 5: Solve for x
    x = 120,533,336,661.14/393,880.86
  6. Step 6: Final answer
    x = 306,014.71

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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.