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Finding the Fourth Proportional to 789,412, 1,089,414.48 and 431,716

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Solution

The fourth proportional to 789,412, 1,089,414.48 and 431,716 is: 595,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,412 : 1,089,414.48 = 431,716 : x
  2. Step 2: Convert to fraction form
    789,412/1,089,414.48 = 431,716/x
  3. Step 3: Cross multiply
    789,412x = 1,089,414.48 × 431,716
  4. Step 4: Simplify right side
    789,412x = 470,317,661,647.68
  5. Step 5: Solve for x
    x = 470,317,661,647.68/789,412
  6. Step 6: Final answer
    x = 595,782.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.