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Finding the Fourth Proportional to 306,323.48, 422,736.90 and 178,996.34

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Solution

The fourth proportional to 306,323.48, 422,736.90 and 178,996.34 is: 247,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,323.48 : 422,736.90 = 178,996.34 : x
  2. Step 2: Convert to fraction form
    306,323.48/422,736.90 = 178,996.34/x
  3. Step 3: Cross multiply
    306,323.48x = 422,736.90 × 178,996.34
  4. Step 4: Simplify right side
    306,323.48x = 75,668,357,882.95
  5. Step 5: Solve for x
    x = 75,668,357,882.95/306,323.48
  6. Step 6: Final answer
    x = 247,021.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.