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Finding the Fourth Proportional to 421,930.47, 582,269.52 and 230,939.76

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Solution

The fourth proportional to 421,930.47, 582,269.52 and 230,939.76 is: 318,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,930.47 : 582,269.52 = 230,939.76 : x
  2. Step 2: Convert to fraction form
    421,930.47/582,269.52 = 230,939.76/x
  3. Step 3: Cross multiply
    421,930.47x = 582,269.52 × 230,939.76
  4. Step 4: Simplify right side
    421,930.47x = 134,469,183,204.12
  5. Step 5: Solve for x
    x = 134,469,183,204.12/421,930.47
  6. Step 6: Final answer
    x = 318,699.86

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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.