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Finding the Fourth Proportional to 789,132, 1,089,006 and 431,436

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Solution

The fourth proportional to 789,132, 1,089,006 and 431,436 is: 595,383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,132 : 1,089,006 = 431,436 : x
  2. Step 2: Convert to fraction form
    789,132/1,089,006 = 431,436/x
  3. Step 3: Cross multiply
    789,132x = 1,089,006 × 431,436
  4. Step 4: Simplify right side
    789,132x = 469,836,392,616
  5. Step 5: Solve for x
    x = 469,836,392,616/789,132
  6. Step 6: Final answer
    x = 595,383.78

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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.