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Finding the Fourth Proportional to 340,583.96, 470,020.46 and 189,680.96

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Solution

The fourth proportional to 340,583.96, 470,020.46 and 189,680.96 is: 261,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,583.96 : 470,020.46 = 189,680.96 : x
  2. Step 2: Convert to fraction form
    340,583.96/470,020.46 = 189,680.96/x
  3. Step 3: Cross multiply
    340,583.96x = 470,020.46 × 189,680.96
  4. Step 4: Simplify right side
    340,583.96x = 89,153,932,072.44
  5. Step 5: Solve for x
    x = 89,153,932,072.44/340,583.96
  6. Step 6: Final answer
    x = 261,767.85

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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.