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Finding the Fourth Proportional to 217,913.94, 327,420.63 and 209,056.98

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Solution

The fourth proportional to 217,913.94, 327,420.63 and 209,056.98 is: 314,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,913.94 : 327,420.63 = 209,056.98 : x
  2. Step 2: Convert to fraction form
    217,913.94/327,420.63 = 209,056.98/x
  3. Step 3: Cross multiply
    217,913.94x = 327,420.63 × 209,056.98
  4. Step 4: Simplify right side
    217,913.94x = 68,449,568,097.50
  5. Step 5: Solve for x
    x = 68,449,568,097.50/217,913.94
  6. Step 6: Final answer
    x = 314,112.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.