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Finding the Fourth Proportional to 256,975.88, 385,462.58 and 171,405.86

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Solution

The fourth proportional to 256,975.88, 385,462.58 and 171,405.86 is: 257,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,975.88 : 385,462.58 = 171,405.86 : x
  2. Step 2: Convert to fraction form
    256,975.88/385,462.58 = 171,405.86/x
  3. Step 3: Cross multiply
    256,975.88x = 385,462.58 × 171,405.86
  4. Step 4: Simplify right side
    256,975.88x = 66,070,542,238.38
  5. Step 5: Solve for x
    x = 66,070,542,238.38/256,975.88
  6. Step 6: Final answer
    x = 257,107.96

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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.