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Finding the Fourth Proportional to 256,172.90, 384,392.32 and 104,481.26

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Solution

The fourth proportional to 256,172.90, 384,392.32 and 104,481.26 is: 156,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,172.90 : 384,392.32 = 104,481.26 : x
  2. Step 2: Convert to fraction form
    256,172.90/384,392.32 = 104,481.26/x
  3. Step 3: Cross multiply
    256,172.90x = 384,392.32 × 104,481.26
  4. Step 4: Simplify right side
    256,172.90x = 40,161,794,189.13
  5. Step 5: Solve for x
    x = 40,161,794,189.13/256,172.90
  6. Step 6: Final answer
    x = 156,776.13

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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.