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Finding the Fourth Proportional to 256,105.44, 384,354.18 and 115,962.48

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Solution

The fourth proportional to 256,105.44, 384,354.18 and 115,962.48 is: 174,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,105.44 : 384,354.18 = 115,962.48 : x
  2. Step 2: Convert to fraction form
    256,105.44/384,354.18 = 115,962.48/x
  3. Step 3: Cross multiply
    256,105.44x = 384,354.18 × 115,962.48
  4. Step 4: Simplify right side
    256,105.44x = 44,570,663,911.17
  5. Step 5: Solve for x
    x = 44,570,663,911.17/256,105.44
  6. Step 6: Final answer
    x = 174,032.48

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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.