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Finding the Fourth Proportional to 256,302.28, 383,696.38 and 189,297.48

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Solution

The fourth proportional to 256,302.28, 383,696.38 and 189,297.48 is: 283,387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,302.28 : 383,696.38 = 189,297.48 : x
  2. Step 2: Convert to fraction form
    256,302.28/383,696.38 = 189,297.48/x
  3. Step 3: Cross multiply
    256,302.28x = 383,696.38 × 189,297.48
  4. Step 4: Simplify right side
    256,302.28x = 72,632,757,819.12
  5. Step 5: Solve for x
    x = 72,632,757,819.12/256,302.28
  6. Step 6: Final answer
    x = 283,387.09

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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.