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Finding the Fourth Proportional to 256,483.58, 384,731.94 and 121,516.05

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Solution

The fourth proportional to 256,483.58, 384,731.94 and 121,516.05 is: 182,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,483.58 : 384,731.94 = 121,516.05 : x
  2. Step 2: Convert to fraction form
    256,483.58/384,731.94 = 121,516.05/x
  3. Step 3: Cross multiply
    256,483.58x = 384,731.94 × 121,516.05
  4. Step 4: Simplify right side
    256,483.58x = 46,751,105,657.64
  5. Step 5: Solve for x
    x = 46,751,105,657.64/256,483.58
  6. Step 6: Final answer
    x = 182,277.19

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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.