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Finding the Fourth Proportional to 321,959.30, 482,783.42 and 188,882.78

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Solution

The fourth proportional to 321,959.30, 482,783.42 and 188,882.78 is: 283,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,959.30 : 482,783.42 = 188,882.78 : x
  2. Step 2: Convert to fraction form
    321,959.30/482,783.42 = 188,882.78/x
  3. Step 3: Cross multiply
    321,959.30x = 482,783.42 × 188,882.78
  4. Step 4: Simplify right side
    321,959.30x = 91,189,471,149.18
  5. Step 5: Solve for x
    x = 91,189,471,149.18/321,959.30
  6. Step 6: Final answer
    x = 283,232.92

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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.