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Finding the Fourth Proportional to 259,271.70, 388,907.55 and 206,783.70

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Solution

The fourth proportional to 259,271.70, 388,907.55 and 206,783.70 is: 310,175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,271.70 : 388,907.55 = 206,783.70 : x
  2. Step 2: Convert to fraction form
    259,271.70/388,907.55 = 206,783.70/x
  3. Step 3: Cross multiply
    259,271.70x = 388,907.55 × 206,783.70
  4. Step 4: Simplify right side
    259,271.70x = 80,419,742,146.94
  5. Step 5: Solve for x
    x = 80,419,742,146.94/259,271.70
  6. Step 6: Final answer
    x = 310,175.55

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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.