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Finding the Fourth Proportional to 256,738.88, 385,103.54 and 76,824.42

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Solution

The fourth proportional to 256,738.88, 385,103.54 and 76,824.42 is: 115,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,738.88 : 385,103.54 = 76,824.42 : x
  2. Step 2: Convert to fraction form
    256,738.88/385,103.54 = 76,824.42/x
  3. Step 3: Cross multiply
    256,738.88x = 385,103.54 × 76,824.42
  4. Step 4: Simplify right side
    256,738.88x = 29,585,356,100.45
  5. Step 5: Solve for x
    x = 29,585,356,100.45/256,738.88
  6. Step 6: Final answer
    x = 115,235.20

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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.