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Finding the Fourth Proportional to 256,351.77, 384,528.60 and 78,857.55

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Solution

The fourth proportional to 256,351.77, 384,528.60 and 78,857.55 is: 118,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,351.77 : 384,528.60 = 78,857.55 : x
  2. Step 2: Convert to fraction form
    256,351.77/384,528.60 = 78,857.55/x
  3. Step 3: Cross multiply
    256,351.77x = 384,528.60 × 78,857.55
  4. Step 4: Simplify right side
    256,351.77x = 30,322,983,300.93
  5. Step 5: Solve for x
    x = 30,322,983,300.93/256,351.77
  6. Step 6: Final answer
    x = 118,286.62

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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.