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Finding the Fourth Proportional to 422,812.96, 583,477.44 and 231,825.88

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Solution

The fourth proportional to 422,812.96, 583,477.44 and 231,825.88 is: 319,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,812.96 : 583,477.44 = 231,825.88 : x
  2. Step 2: Convert to fraction form
    422,812.96/583,477.44 = 231,825.88/x
  3. Step 3: Cross multiply
    422,812.96x = 583,477.44 × 231,825.88
  4. Step 4: Simplify right side
    422,812.96x = 135,265,170,988.15
  5. Step 5: Solve for x
    x = 135,265,170,988.15/422,812.96
  6. Step 6: Final answer
    x = 319,917.28

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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.