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Finding the Fourth Proportional to 290,104.27, 433,171.01 and 259,923.67

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Solution

The fourth proportional to 290,104.27, 433,171.01 and 259,923.67 is: 388,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,104.27 : 433,171.01 = 259,923.67 : x
  2. Step 2: Convert to fraction form
    290,104.27/433,171.01 = 259,923.67/x
  3. Step 3: Cross multiply
    290,104.27x = 433,171.01 × 259,923.67
  4. Step 4: Simplify right side
    290,104.27x = 112,591,396,761.62
  5. Step 5: Solve for x
    x = 112,591,396,761.62/290,104.27
  6. Step 6: Final answer
    x = 388,106.65

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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.