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Finding the Fourth Proportional to 392,204,280.80, 586,794,766.80 and 256,155,384.80

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Solution

The fourth proportional to 392,204,280.80, 586,794,766.80 and 256,155,384.80 is: 383,245,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,204,280.80 : 586,794,766.80 = 256,155,384.80 : x
  2. Step 2: Convert to fraction form
    392,204,280.80/586,794,766.80 = 256,155,384.80/x
  3. Step 3: Cross multiply
    392,204,280.80x = 586,794,766.80 × 256,155,384.80
  4. Step 4: Simplify right side
    392,204,280.80x = 150,310,639,288,280,256
  5. Step 5: Solve for x
    x = 150,310,639,288,280,256/392,204,280.80
  6. Step 6: Final answer
    x = 383,245,789.62

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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.