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Finding the Fourth Proportional to 256,480.83, 384,727.82 and 121,513.30

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Solution

The fourth proportional to 256,480.83, 384,727.82 and 121,513.30 is: 182,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,480.83 : 384,727.82 = 121,513.30 : x
  2. Step 2: Convert to fraction form
    256,480.83/384,727.82 = 121,513.30/x
  3. Step 3: Cross multiply
    256,480.83x = 384,727.82 × 121,513.30
  4. Step 4: Simplify right side
    256,480.83x = 46,749,545,440.62
  5. Step 5: Solve for x
    x = 46,749,545,440.62/256,480.83
  6. Step 6: Final answer
    x = 182,273.06

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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.