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Finding the Fourth Proportional to 256,484.33, 384,733.07 and 121,516.80

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Solution

The fourth proportional to 256,484.33, 384,733.07 and 121,516.80 is: 182,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,484.33 : 384,733.07 = 121,516.80 : x
  2. Step 2: Convert to fraction form
    256,484.33/384,733.07 = 121,516.80/x
  3. Step 3: Cross multiply
    256,484.33x = 384,733.07 × 121,516.80
  4. Step 4: Simplify right side
    256,484.33x = 46,751,531,520.58
  5. Step 5: Solve for x
    x = 46,751,531,520.58/256,484.33
  6. Step 6: Final answer
    x = 182,278.32

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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.