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Finding the Fourth Proportional to 256,416.68, 384,416.91 and 106,768.92

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Solution

The fourth proportional to 256,416.68, 384,416.91 and 106,768.92 is: 160,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,416.68 : 384,416.91 = 106,768.92 : x
  2. Step 2: Convert to fraction form
    256,416.68/384,416.91 = 106,768.92/x
  3. Step 3: Cross multiply
    256,416.68x = 384,416.91 × 106,768.92
  4. Step 4: Simplify right side
    256,416.68x = 41,043,778,310.44
  5. Step 5: Solve for x
    x = 41,043,778,310.44/256,416.68
  6. Step 6: Final answer
    x = 160,066.73

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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.