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Finding the Fourth Proportional to 422,757.12, 583,427.19 and 231,778.56

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Solution

The fourth proportional to 422,757.12, 583,427.19 and 231,778.56 is: 319,866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,757.12 : 583,427.19 = 231,778.56 : x
  2. Step 2: Convert to fraction form
    422,757.12/583,427.19 = 231,778.56/x
  3. Step 3: Cross multiply
    422,757.12x = 583,427.19 × 231,778.56
  4. Step 4: Simplify right side
    422,757.12x = 135,225,913,963.05
  5. Step 5: Solve for x
    x = 135,225,913,963.05/422,757.12
  6. Step 6: Final answer
    x = 319,866.67

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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.