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Finding the Fourth Proportional to 256,286.40, 384,429.60 and 167,812.80

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Solution

The fourth proportional to 256,286.40, 384,429.60 and 167,812.80 is: 251,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,286.40 : 384,429.60 = 167,812.80 : x
  2. Step 2: Convert to fraction form
    256,286.40/384,429.60 = 167,812.80/x
  3. Step 3: Cross multiply
    256,286.40x = 384,429.60 × 167,812.80
  4. Step 4: Simplify right side
    256,286.40x = 64,512,207,578.88
  5. Step 5: Solve for x
    x = 64,512,207,578.88/256,286.40
  6. Step 6: Final answer
    x = 251,719.20

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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.