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Finding the Fourth Proportional to 789,410.50, 1,089,412.41 and 431,714.50

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Solution

The fourth proportional to 789,410.50, 1,089,412.41 and 431,714.50 is: 595,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,410.50 : 1,089,412.41 = 431,714.50 : x
  2. Step 2: Convert to fraction form
    789,410.50/1,089,412.41 = 431,714.50/x
  3. Step 3: Cross multiply
    789,410.50x = 1,089,412.41 × 431,714.50
  4. Step 4: Simplify right side
    789,410.50x = 470,315,133,876.95
  5. Step 5: Solve for x
    x = 470,315,133,876.95/789,410.50
  6. Step 6: Final answer
    x = 595,780.19

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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.