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Finding the Fourth Proportional to 422,661.68, 583,295.88 and 231,683.12

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Solution

The fourth proportional to 422,661.68, 583,295.88 and 231,683.12 is: 319,735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,661.68 : 583,295.88 = 231,683.12 : x
  2. Step 2: Convert to fraction form
    422,661.68/583,295.88 = 231,683.12/x
  3. Step 3: Cross multiply
    422,661.68x = 583,295.88 × 231,683.12
  4. Step 4: Simplify right side
    422,661.68x = 135,139,809,361.55
  5. Step 5: Solve for x
    x = 135,139,809,361.55/422,661.68
  6. Step 6: Final answer
    x = 319,735.18

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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.