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Finding the Fourth Proportional to 256,004.64, 384,339.60 and 196,882.20

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Solution

The fourth proportional to 256,004.64, 384,339.60 and 196,882.20 is: 295,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,004.64 : 384,339.60 = 196,882.20 : x
  2. Step 2: Convert to fraction form
    256,004.64/384,339.60 = 196,882.20/x
  3. Step 3: Cross multiply
    256,004.64x = 384,339.60 × 196,882.20
  4. Step 4: Simplify right side
    256,004.64x = 75,669,625,995.12
  5. Step 5: Solve for x
    x = 75,669,625,995.12/256,004.64
  6. Step 6: Final answer
    x = 295,579.12

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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.