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Finding the Fourth Proportional to 1,281,584.23, 1,922,667.94 and 682,229.59

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Solution

The fourth proportional to 1,281,584.23, 1,922,667.94 and 682,229.59 is: 1,023,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,584.23 : 1,922,667.94 = 682,229.59 : x
  2. Step 2: Convert to fraction form
    1,281,584.23/1,922,667.94 = 682,229.59/x
  3. Step 3: Cross multiply
    1,281,584.23x = 1,922,667.94 × 682,229.59
  4. Step 4: Simplify right side
    1,281,584.23x = 1,311,700,956,458.46
  5. Step 5: Solve for x
    x = 1,311,700,956,458.46/1,281,584.23
  6. Step 6: Final answer
    x = 1,023,499.61

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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.