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Finding the Fourth Proportional to 256,811.94, 385,270.46 and 88,310.38

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Solution

The fourth proportional to 256,811.94, 385,270.46 and 88,310.38 is: 132,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,811.94 : 385,270.46 = 88,310.38 : x
  2. Step 2: Convert to fraction form
    256,811.94/385,270.46 = 88,310.38/x
  3. Step 3: Cross multiply
    256,811.94x = 385,270.46 × 88,310.38
  4. Step 4: Simplify right side
    256,811.94x = 34,023,380,725.37
  5. Step 5: Solve for x
    x = 34,023,380,725.37/256,811.94
  6. Step 6: Final answer
    x = 132,483.64

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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.