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Finding the Fourth Proportional to 789,409, 1,089,410.34 and 431,713

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Solution

The fourth proportional to 789,409, 1,089,410.34 and 431,713 is: 595,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,409 : 1,089,410.34 = 431,713 : x
  2. Step 2: Convert to fraction form
    789,409/1,089,410.34 = 431,713/x
  3. Step 3: Cross multiply
    789,409x = 1,089,410.34 × 431,713
  4. Step 4: Simplify right side
    789,409x = 470,312,606,112.42
  5. Step 5: Solve for x
    x = 470,312,606,112.42/789,409
  6. Step 6: Final answer
    x = 595,778.12

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Why These Related Problems?

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