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Finding the Fourth Proportional to 256,487.83, 384,738.32 and 121,520.30

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Solution

The fourth proportional to 256,487.83, 384,738.32 and 121,520.30 is: 182,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,487.83 : 384,738.32 = 121,520.30 : x
  2. Step 2: Convert to fraction form
    256,487.83/384,738.32 = 121,520.30/x
  3. Step 3: Cross multiply
    256,487.83x = 384,738.32 × 121,520.30
  4. Step 4: Simplify right side
    256,487.83x = 46,753,516,067.90
  5. Step 5: Solve for x
    x = 46,753,516,067.90/256,487.83
  6. Step 6: Final answer
    x = 182,283.57

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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.