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Finding the Fourth Proportional to 256,634.78, 384,744.20 and 106,987.28

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Solution

The fourth proportional to 256,634.78, 384,744.20 and 106,987.28 is: 160,394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,634.78 : 384,744.20 = 106,987.28 : x
  2. Step 2: Convert to fraction form
    256,634.78/384,744.20 = 106,987.28/x
  3. Step 3: Cross multiply
    256,634.78x = 384,744.20 × 106,987.28
  4. Step 4: Simplify right side
    256,634.78x = 41,162,732,995.12
  5. Step 5: Solve for x
    x = 41,162,732,995.12/256,634.78
  6. Step 6: Final answer
    x = 160,394.21

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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.