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Finding the Fourth Proportional to 422,021.30, 582,389.38 and 231,034.70

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Solution

The fourth proportional to 422,021.30, 582,389.38 and 231,034.70 is: 318,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,021.30 : 582,389.38 = 231,034.70 : x
  2. Step 2: Convert to fraction form
    422,021.30/582,389.38 = 231,034.70/x
  3. Step 3: Cross multiply
    422,021.30x = 582,389.38 × 231,034.70
  4. Step 4: Simplify right side
    422,021.30x = 134,552,152,779.54
  5. Step 5: Solve for x
    x = 134,552,152,779.54/422,021.30
  6. Step 6: Final answer
    x = 318,827.87

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1.5x scale

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.