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Finding the Fourth Proportional to 256,425.80, 384,709.80 and 106,736.60

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Solution

The fourth proportional to 256,425.80, 384,709.80 and 106,736.60 is: 160,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,425.80 : 384,709.80 = 106,736.60 : x
  2. Step 2: Convert to fraction form
    256,425.80/384,709.80 = 106,736.60/x
  3. Step 3: Cross multiply
    256,425.80x = 384,709.80 × 106,736.60
  4. Step 4: Simplify right side
    256,425.80x = 41,062,616,038.68
  5. Step 5: Solve for x
    x = 41,062,616,038.68/256,425.80
  6. Step 6: Final answer
    x = 160,134.50

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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.