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Finding the Fourth Proportional to 321,698.80, 482,855.40 and 275,004.40

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Solution

The fourth proportional to 321,698.80, 482,855.40 and 275,004.40 is: 412,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,698.80 : 482,855.40 = 275,004.40 : x
  2. Step 2: Convert to fraction form
    321,698.80/482,855.40 = 275,004.40/x
  3. Step 3: Cross multiply
    321,698.80x = 482,855.40 × 275,004.40
  4. Step 4: Simplify right side
    321,698.80x = 132,787,359,563.76
  5. Step 5: Solve for x
    x = 132,787,359,563.76/321,698.80
  6. Step 6: Final answer
    x = 412,769.21

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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.