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Finding the Fourth Proportional to 259,152.26, 388,728.39 and 148,266.50

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Solution

The fourth proportional to 259,152.26, 388,728.39 and 148,266.50 is: 222,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,152.26 : 388,728.39 = 148,266.50 : x
  2. Step 2: Convert to fraction form
    259,152.26/388,728.39 = 148,266.50/x
  3. Step 3: Cross multiply
    259,152.26x = 388,728.39 × 148,266.50
  4. Step 4: Simplify right side
    259,152.26x = 57,635,397,835.94
  5. Step 5: Solve for x
    x = 57,635,397,835.94/259,152.26
  6. Step 6: Final answer
    x = 222,399.75

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