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Finding the Fourth Proportional to 320,694.49, 480,899.53 and 170,906.86

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Solution

The fourth proportional to 320,694.49, 480,899.53 and 170,906.86 is: 256,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,694.49 : 480,899.53 = 170,906.86 : x
  2. Step 2: Convert to fraction form
    320,694.49/480,899.53 = 170,906.86/x
  3. Step 3: Cross multiply
    320,694.49x = 480,899.53 × 170,906.86
  4. Step 4: Simplify right side
    320,694.49x = 82,189,028,647.78
  5. Step 5: Solve for x
    x = 82,189,028,647.78/320,694.49
  6. Step 6: Final answer
    x = 256,284.51

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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.