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Finding the Fourth Proportional to 256,850.88, 385,217.86 and 96,943.76

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Solution

The fourth proportional to 256,850.88, 385,217.86 and 96,943.76 is: 145,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,850.88 : 385,217.86 = 96,943.76 : x
  2. Step 2: Convert to fraction form
    256,850.88/385,217.86 = 96,943.76/x
  3. Step 3: Cross multiply
    256,850.88x = 385,217.86 × 96,943.76
  4. Step 4: Simplify right side
    256,850.88x = 37,344,467,767.55
  5. Step 5: Solve for x
    x = 37,344,467,767.55/256,850.88
  6. Step 6: Final answer
    x = 145,393.58

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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.