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Finding the Fourth Proportional to 256,481.83, 384,729.32 and 121,514.30

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Solution

The fourth proportional to 256,481.83, 384,729.32 and 121,514.30 is: 182,274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,481.83 : 384,729.32 = 121,514.30 : x
  2. Step 2: Convert to fraction form
    256,481.83/384,729.32 = 121,514.30/x
  3. Step 3: Cross multiply
    256,481.83x = 384,729.32 × 121,514.30
  4. Step 4: Simplify right side
    256,481.83x = 46,750,114,009.28
  5. Step 5: Solve for x
    x = 46,750,114,009.28/256,481.83
  6. Step 6: Final answer
    x = 182,274.57

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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.