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Finding the Fourth Proportional to 321,328.10, 481,664.10 and 188,139.80

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Solution

The fourth proportional to 321,328.10, 481,664.10 and 188,139.80 is: 282,017.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,328.10 : 481,664.10 = 188,139.80 : x
  2. Step 2: Convert to fraction form
    321,328.10/481,664.10 = 188,139.80/x
  3. Step 3: Cross multiply
    321,328.10x = 481,664.10 × 188,139.80
  4. Step 4: Simplify right side
    321,328.10x = 90,620,187,441.18
  5. Step 5: Solve for x
    x = 90,620,187,441.18/321,328.10
  6. Step 6: Final answer
    x = 282,017.62

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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.