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Finding the Fourth Proportional to 256,222.80, 384,334.20 and 108,766.80

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Solution

The fourth proportional to 256,222.80, 384,334.20 and 108,766.80 is: 163,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,222.80 : 384,334.20 = 108,766.80 : x
  2. Step 2: Convert to fraction form
    256,222.80/384,334.20 = 108,766.80/x
  3. Step 3: Cross multiply
    256,222.80x = 384,334.20 × 108,766.80
  4. Step 4: Simplify right side
    256,222.80x = 41,802,801,064.56
  5. Step 5: Solve for x
    x = 41,802,801,064.56/256,222.80
  6. Step 6: Final answer
    x = 163,150.20

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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.