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Finding the Fourth Proportional to 321,202.90, 481,804.35 and 188,233.30

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Solution

The fourth proportional to 321,202.90, 481,804.35 and 188,233.30 is: 282,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,202.90 : 481,804.35 = 188,233.30 : x
  2. Step 2: Convert to fraction form
    321,202.90/481,804.35 = 188,233.30/x
  3. Step 3: Cross multiply
    321,202.90x = 481,804.35 × 188,233.30
  4. Step 4: Simplify right side
    321,202.90x = 90,691,622,754.86
  5. Step 5: Solve for x
    x = 90,691,622,754.86/321,202.90
  6. Step 6: Final answer
    x = 282,349.95

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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.