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Finding the Fourth Proportional to 256,846.26, 385,271.99 and 114,698.78

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Solution

The fourth proportional to 256,846.26, 385,271.99 and 114,698.78 is: 172,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,846.26 : 385,271.99 = 114,698.78 : x
  2. Step 2: Convert to fraction form
    256,846.26/385,271.99 = 114,698.78/x
  3. Step 3: Cross multiply
    256,846.26x = 385,271.99 × 114,698.78
  4. Step 4: Simplify right side
    256,846.26x = 44,190,227,221.17
  5. Step 5: Solve for x
    x = 44,190,227,221.17/256,846.26
  6. Step 6: Final answer
    x = 172,049.33

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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.