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Finding the Fourth Proportional to 256,144.88, 384,274.46 and 78,669.80

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Solution

The fourth proportional to 256,144.88, 384,274.46 and 78,669.80 is: 118,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,144.88 : 384,274.46 = 78,669.80 : x
  2. Step 2: Convert to fraction form
    256,144.88/384,274.46 = 78,669.80/x
  3. Step 3: Cross multiply
    256,144.88x = 384,274.46 × 78,669.80
  4. Step 4: Simplify right side
    256,144.88x = 30,230,794,913.31
  5. Step 5: Solve for x
    x = 30,230,794,913.31/256,144.88
  6. Step 6: Final answer
    x = 118,022.25

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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.