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Finding the Fourth Proportional to 274,084.55, 410,939.74 and 146,020

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Solution

The fourth proportional to 274,084.55, 410,939.74 and 146,020 is: 218,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,084.55 : 410,939.74 = 146,020 : x
  2. Step 2: Convert to fraction form
    274,084.55/410,939.74 = 146,020/x
  3. Step 3: Cross multiply
    274,084.55x = 410,939.74 × 146,020
  4. Step 4: Simplify right side
    274,084.55x = 60,005,420,834.80
  5. Step 5: Solve for x
    x = 60,005,420,834.80/274,084.55
  6. Step 6: Final answer
    x = 218,930.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.