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Finding the Fourth Proportional to 206,483.80, 309,725.70 and 206,483.80

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Solution

The fourth proportional to 206,483.80, 309,725.70 and 206,483.80 is: 309,725.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,483.80 : 309,725.70 = 206,483.80 : x
  2. Step 2: Convert to fraction form
    206,483.80/309,725.70 = 206,483.80/x
  3. Step 3: Cross multiply
    206,483.80x = 309,725.70 × 206,483.80
  4. Step 4: Simplify right side
    206,483.80x = 63,953,339,493.66
  5. Step 5: Solve for x
    x = 63,953,339,493.66/206,483.80
  6. Step 6: Final answer
    x = 309,725.70

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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.