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Finding the Fourth Proportional to 256,301.80, 383,943.26 and 200,637.16

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Solution

The fourth proportional to 256,301.80, 383,943.26 and 200,637.16 is: 300,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,301.80 : 383,943.26 = 200,637.16 : x
  2. Step 2: Convert to fraction form
    256,301.80/383,943.26 = 200,637.16/x
  3. Step 3: Cross multiply
    256,301.80x = 383,943.26 × 200,637.16
  4. Step 4: Simplify right side
    256,301.80x = 77,033,285,287.54
  5. Step 5: Solve for x
    x = 77,033,285,287.54/256,301.80
  6. Step 6: Final answer
    x = 300,556.94

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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.