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Finding the Fourth Proportional to 256,074.30, 384,111.45 and 122,922.45

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Solution

The fourth proportional to 256,074.30, 384,111.45 and 122,922.45 is: 184,383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,074.30 : 384,111.45 = 122,922.45 : x
  2. Step 2: Convert to fraction form
    256,074.30/384,111.45 = 122,922.45/x
  3. Step 3: Cross multiply
    256,074.30x = 384,111.45 × 122,922.45
  4. Step 4: Simplify right side
    256,074.30x = 47,215,920,507.05
  5. Step 5: Solve for x
    x = 47,215,920,507.05/256,074.30
  6. Step 6: Final answer
    x = 184,383.68

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1.5x scale

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.