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Finding the Fourth Proportional to 321,004.92, 481,407.54 and 107,731.32

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Solution

The fourth proportional to 321,004.92, 481,407.54 and 107,731.32 is: 161,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,004.92 : 481,407.54 = 107,731.32 : x
  2. Step 2: Convert to fraction form
    321,004.92/481,407.54 = 107,731.32/x
  3. Step 3: Cross multiply
    321,004.92x = 481,407.54 × 107,731.32
  4. Step 4: Simplify right side
    321,004.92x = 51,862,669,742.15
  5. Step 5: Solve for x
    x = 51,862,669,742.15/321,004.92
  6. Step 6: Final answer
    x = 161,563.47

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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.