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Finding the Fourth Proportional to 421,806.24, 582,078.48 and 230,806.80

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Solution

The fourth proportional to 421,806.24, 582,078.48 and 230,806.80 is: 318,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,806.24 : 582,078.48 = 230,806.80 : x
  2. Step 2: Convert to fraction form
    421,806.24/582,078.48 = 230,806.80/x
  3. Step 3: Cross multiply
    421,806.24x = 582,078.48 × 230,806.80
  4. Step 4: Simplify right side
    421,806.24x = 134,347,671,317.66
  5. Step 5: Solve for x
    x = 134,347,671,317.66/421,806.24
  6. Step 6: Final answer
    x = 318,505.65

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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.