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Finding the Fourth Proportional to 422,323.56, 582,806.64 and 231,343.80

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Solution

The fourth proportional to 422,323.56, 582,806.64 and 231,343.80 is: 319,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,323.56 : 582,806.64 = 231,343.80 : x
  2. Step 2: Convert to fraction form
    422,323.56/582,806.64 = 231,343.80/x
  3. Step 3: Cross multiply
    422,323.56x = 582,806.64 × 231,343.80
  4. Step 4: Simplify right side
    422,323.56x = 134,828,702,762.83
  5. Step 5: Solve for x
    x = 134,828,702,762.83/422,323.56
  6. Step 6: Final answer
    x = 319,254.51

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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.