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Finding the Fourth Proportional to 421,755.78, 582,022.62 and 230,769.96

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Solution

The fourth proportional to 421,755.78, 582,022.62 and 230,769.96 is: 318,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,755.78 : 582,022.62 = 230,769.96 : x
  2. Step 2: Convert to fraction form
    421,755.78/582,022.62 = 230,769.96/x
  3. Step 3: Cross multiply
    421,755.78x = 582,022.62 × 230,769.96
  4. Step 4: Simplify right side
    421,755.78x = 134,313,336,736.50
  5. Step 5: Solve for x
    x = 134,313,336,736.50/421,755.78
  6. Step 6: Final answer
    x = 318,462.35

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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.