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Finding the Fourth Proportional to 512,964.40, 768,280.20 and 324,007.60

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Solution

The fourth proportional to 512,964.40, 768,280.20 and 324,007.60 is: 485,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,964.40 : 768,280.20 = 324,007.60 : x
  2. Step 2: Convert to fraction form
    512,964.40/768,280.20 = 324,007.60/x
  3. Step 3: Cross multiply
    512,964.40x = 768,280.20 × 324,007.60
  4. Step 4: Simplify right side
    512,964.40x = 248,928,623,729.52
  5. Step 5: Solve for x
    x = 248,928,623,729.52/512,964.40
  6. Step 6: Final answer
    x = 485,274.66

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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.