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Finding the Fourth Proportional to 392,257,481.80, 588,386,222.70 and 256,208,585.80

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Solution

The fourth proportional to 392,257,481.80, 588,386,222.70 and 256,208,585.80 is: 384,312,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,257,481.80 : 588,386,222.70 = 256,208,585.80 : x
  2. Step 2: Convert to fraction form
    392,257,481.80/588,386,222.70 = 256,208,585.80/x
  3. Step 3: Cross multiply
    392,257,481.80x = 588,386,222.70 × 256,208,585.80
  4. Step 4: Simplify right side
    392,257,481.80x = 150,749,602,022,170,880
  5. Step 5: Solve for x
    x = 150,749,602,022,170,880/392,257,481.80
  6. Step 6: Final answer
    x = 384,312,878.70

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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.