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Finding the Fourth Proportional to 218,935.28, 328,447.40 and 69,198.96

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Solution

The fourth proportional to 218,935.28, 328,447.40 and 69,198.96 is: 103,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,935.28 : 328,447.40 = 69,198.96 : x
  2. Step 2: Convert to fraction form
    218,935.28/328,447.40 = 69,198.96/x
  3. Step 3: Cross multiply
    218,935.28x = 328,447.40 × 69,198.96
  4. Step 4: Simplify right side
    218,935.28x = 22,728,218,494.70
  5. Step 5: Solve for x
    x = 22,728,218,494.70/218,935.28
  6. Step 6: Final answer
    x = 103,812.50

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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.