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Finding the Fourth Proportional to 789,702, 1,089,793.08 and 432,006

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Solution

The fourth proportional to 789,702, 1,089,793.08 and 432,006 is: 596,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,702 : 1,089,793.08 = 432,006 : x
  2. Step 2: Convert to fraction form
    789,702/1,089,793.08 = 432,006/x
  3. Step 3: Cross multiply
    789,702x = 1,089,793.08 × 432,006
  4. Step 4: Simplify right side
    789,702x = 470,797,149,318.48
  5. Step 5: Solve for x
    x = 470,797,149,318.48/789,702
  6. Step 6: Final answer
    x = 596,170.64

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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.