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Finding the Fourth Proportional to 422,871.47, 583,589.21 and 231,884.86

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Solution

The fourth proportional to 422,871.47, 583,589.21 and 231,884.86 is: 320,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,871.47 : 583,589.21 = 231,884.86 : x
  2. Step 2: Convert to fraction form
    422,871.47/583,589.21 = 231,884.86/x
  3. Step 3: Cross multiply
    422,871.47x = 583,589.21 × 231,884.86
  4. Step 4: Simplify right side
    422,871.47x = 135,325,502,258.36
  5. Step 5: Solve for x
    x = 135,325,502,258.36/422,871.47
  6. Step 6: Final answer
    x = 320,015.68

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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.