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Finding the Fourth Proportional to 603,829.96, 831,845.14 and 422,202.04

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Solution

The fourth proportional to 603,829.96, 831,845.14 and 422,202.04 is: 581,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,829.96 : 831,845.14 = 422,202.04 : x
  2. Step 2: Convert to fraction form
    603,829.96/831,845.14 = 422,202.04/x
  3. Step 3: Cross multiply
    603,829.96x = 831,845.14 × 422,202.04
  4. Step 4: Simplify right side
    603,829.96x = 351,206,715,072.09
  5. Step 5: Solve for x
    x = 351,206,715,072.09/603,829.96
  6. Step 6: Final answer
    x = 581,631.81

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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.