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Finding the Fourth Proportional to 649,634.80, 974,106.60 and 275,234.80

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Solution

The fourth proportional to 649,634.80, 974,106.60 and 275,234.80 is: 412,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,634.80 : 974,106.60 = 275,234.80 : x
  2. Step 2: Convert to fraction form
    649,634.80/974,106.60 = 275,234.80/x
  3. Step 3: Cross multiply
    649,634.80x = 974,106.60 × 275,234.80
  4. Step 4: Simplify right side
    649,634.80x = 268,108,035,229.68
  5. Step 5: Solve for x
    x = 268,108,035,229.68/649,634.80
  6. Step 6: Final answer
    x = 412,705.78

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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.