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Finding the Fourth Proportional to 256,220.40, 384,445.80 and 115,906.80

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Solution

The fourth proportional to 256,220.40, 384,445.80 and 115,906.80 is: 173,912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,220.40 : 384,445.80 = 115,906.80 : x
  2. Step 2: Convert to fraction form
    256,220.40/384,445.80 = 115,906.80/x
  3. Step 3: Cross multiply
    256,220.40x = 384,445.80 × 115,906.80
  4. Step 4: Simplify right side
    256,220.40x = 44,559,882,451.44
  5. Step 5: Solve for x
    x = 44,559,882,451.44/256,220.40
  6. Step 6: Final answer
    x = 173,912.31

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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.