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Finding the Fourth Proportional to 422,874.36, 583,574.94 and 231,888.15

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Solution

The fourth proportional to 422,874.36, 583,574.94 and 231,888.15 is: 320,010.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,874.36 : 583,574.94 = 231,888.15 : x
  2. Step 2: Convert to fraction form
    422,874.36/583,574.94 = 231,888.15/x
  3. Step 3: Cross multiply
    422,874.36x = 583,574.94 × 231,888.15
  4. Step 4: Simplify right side
    422,874.36x = 135,324,113,222.96
  5. Step 5: Solve for x
    x = 135,324,113,222.96/422,874.36
  6. Step 6: Final answer
    x = 320,010.21

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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.