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Finding the Fourth Proportional to 422,666.38, 582,299.31 and 295,139.98

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Solution

The fourth proportional to 422,666.38, 582,299.31 and 295,139.98 is: 406,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,666.38 : 582,299.31 = 295,139.98 : x
  2. Step 2: Convert to fraction form
    422,666.38/582,299.31 = 295,139.98/x
  3. Step 3: Cross multiply
    422,666.38x = 582,299.31 × 295,139.98
  4. Step 4: Simplify right side
    422,666.38x = 171,859,806,707.41
  5. Step 5: Solve for x
    x = 171,859,806,707.41/422,666.38
  6. Step 6: Final answer
    x = 406,608.65

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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.