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Finding the Fourth Proportional to 422,796.96, 583,455.36 and 231,809.88

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Solution

The fourth proportional to 422,796.96, 583,455.36 and 231,809.88 is: 319,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,796.96 : 583,455.36 = 231,809.88 : x
  2. Step 2: Convert to fraction form
    422,796.96/583,455.36 = 231,809.88/x
  3. Step 3: Cross multiply
    422,796.96x = 583,455.36 × 231,809.88
  4. Step 4: Simplify right side
    422,796.96x = 135,250,716,986.96
  5. Step 5: Solve for x
    x = 135,250,716,986.96/422,796.96
  6. Step 6: Final answer
    x = 319,895.20

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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.