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Finding the Fourth Proportional to 262,270.26, 391,912.29 and 196,928.64

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Solution

The fourth proportional to 262,270.26, 391,912.29 and 196,928.64 is: 294,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,270.26 : 391,912.29 = 196,928.64 : x
  2. Step 2: Convert to fraction form
    262,270.26/391,912.29 = 196,928.64/x
  3. Step 3: Cross multiply
    262,270.26x = 391,912.29 × 196,928.64
  4. Step 4: Simplify right side
    262,270.26x = 77,178,754,268.99
  5. Step 5: Solve for x
    x = 77,178,754,268.99/262,270.26
  6. Step 6: Final answer
    x = 294,271.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.