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Finding the Fourth Proportional to 321,651.32, 481,833.68 and 193,496.90

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Solution

The fourth proportional to 321,651.32, 481,833.68 and 193,496.90 is: 289,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,651.32 : 481,833.68 = 193,496.90 : x
  2. Step 2: Convert to fraction form
    321,651.32/481,833.68 = 193,496.90/x
  3. Step 3: Cross multiply
    321,651.32x = 481,833.68 × 193,496.90
  4. Step 4: Simplify right side
    321,651.32x = 93,233,320,018.94
  5. Step 5: Solve for x
    x = 93,233,320,018.94/321,651.32
  6. Step 6: Final answer
    x = 289,858.35

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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.