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Finding the Fourth Proportional to 422,765.08, 583,415.67 and 231,774.37

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Solution

The fourth proportional to 422,765.08, 583,415.67 and 231,774.37 is: 319,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,765.08 : 583,415.67 = 231,774.37 : x
  2. Step 2: Convert to fraction form
    422,765.08/583,415.67 = 231,774.37/x
  3. Step 3: Cross multiply
    422,765.08x = 583,415.67 × 231,774.37
  4. Step 4: Simplify right side
    422,765.08x = 135,220,799,362.38
  5. Step 5: Solve for x
    x = 135,220,799,362.38/422,765.08
  6. Step 6: Final answer
    x = 319,848.55

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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.