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Finding the Fourth Proportional to 410,821.20, 616,231.80 and 275,518.80

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Solution

The fourth proportional to 410,821.20, 616,231.80 and 275,518.80 is: 413,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,821.20 : 616,231.80 = 275,518.80 : x
  2. Step 2: Convert to fraction form
    410,821.20/616,231.80 = 275,518.80/x
  3. Step 3: Cross multiply
    410,821.20x = 616,231.80 × 275,518.80
  4. Step 4: Simplify right side
    410,821.20x = 169,783,446,057.84
  5. Step 5: Solve for x
    x = 169,783,446,057.84/410,821.20
  6. Step 6: Final answer
    x = 413,278.20

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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.