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Finding the Fourth Proportional to 422,906, 583,556.64 and 231,869.12

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Solution

The fourth proportional to 422,906, 583,556.64 and 231,869.12 is: 319,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,906 : 583,556.64 = 231,869.12 : x
  2. Step 2: Convert to fraction form
    422,906/583,556.64 = 231,869.12/x
  3. Step 3: Cross multiply
    422,906x = 583,556.64 × 231,869.12
  4. Step 4: Simplify right side
    422,906x = 135,308,764,586.96
  5. Step 5: Solve for x
    x = 135,308,764,586.96/422,906
  6. Step 6: Final answer
    x = 319,949.98

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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.