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Finding the Fourth Proportional to 321,218.12, 481,903.74 and 110,857.88

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Solution

The fourth proportional to 321,218.12, 481,903.74 and 110,857.88 is: 166,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,218.12 : 481,903.74 = 110,857.88 : x
  2. Step 2: Convert to fraction form
    321,218.12/481,903.74 = 110,857.88/x
  3. Step 3: Cross multiply
    321,218.12x = 481,903.74 × 110,857.88
  4. Step 4: Simplify right side
    321,218.12x = 53,422,826,980.47
  5. Step 5: Solve for x
    x = 53,422,826,980.47/321,218.12
  6. Step 6: Final answer
    x = 166,313.24

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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.