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Finding the Fourth Proportional to 256,975.42, 385,594.46 and 171,644.47

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Solution

The fourth proportional to 256,975.42, 385,594.46 and 171,644.47 is: 257,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,975.42 : 385,594.46 = 171,644.47 : x
  2. Step 2: Convert to fraction form
    256,975.42/385,594.46 = 171,644.47/x
  3. Step 3: Cross multiply
    256,975.42x = 385,594.46 × 171,644.47
  4. Step 4: Simplify right side
    256,975.42x = 66,185,156,721.64
  5. Step 5: Solve for x
    x = 66,185,156,721.64/256,975.42
  6. Step 6: Final answer
    x = 257,554.43

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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.