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Finding the Fourth Proportional to 1,320,404.20, 1,978,856.70 and 1,169,938.60

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Solution

The fourth proportional to 1,320,404.20, 1,978,856.70 and 1,169,938.60 is: 1,753,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320,404.20 : 1,978,856.70 = 1,169,938.60 : x
  2. Step 2: Convert to fraction form
    1,320,404.20/1,978,856.70 = 1,169,938.60/x
  3. Step 3: Cross multiply
    1,320,404.20x = 1,978,856.70 × 1,169,938.60
  4. Step 4: Simplify right side
    1,320,404.20x = 2,315,140,837,198.62
  5. Step 5: Solve for x
    x = 2,315,140,837,198.62/1,320,404.20
  6. Step 6: Final answer
    x = 1,753,357.67

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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.