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Finding the Fourth Proportional to 259,270.40, 388,840.80 and 99,311.60

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Solution

The fourth proportional to 259,270.40, 388,840.80 and 99,311.60 is: 148,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,270.40 : 388,840.80 = 99,311.60 : x
  2. Step 2: Convert to fraction form
    259,270.40/388,840.80 = 99,311.60/x
  3. Step 3: Cross multiply
    259,270.40x = 388,840.80 × 99,311.60
  4. Step 4: Simplify right side
    259,270.40x = 38,616,401,993.28
  5. Step 5: Solve for x
    x = 38,616,401,993.28/259,270.40
  6. Step 6: Final answer
    x = 148,942.58

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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.