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Finding the Fourth Proportional to 256,478.90, 384,740.22 and 66,964.42

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Solution

The fourth proportional to 256,478.90, 384,740.22 and 66,964.42 is: 100,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,478.90 : 384,740.22 = 66,964.42 : x
  2. Step 2: Convert to fraction form
    256,478.90/384,740.22 = 66,964.42/x
  3. Step 3: Cross multiply
    256,478.90x = 384,740.22 × 66,964.42
  4. Step 4: Simplify right side
    256,478.90x = 25,763,903,759.27
  5. Step 5: Solve for x
    x = 25,763,903,759.27/256,478.90
  6. Step 6: Final answer
    x = 100,452.33

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1.5x scale

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.