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Finding the Fourth Proportional to 275,790.30, 412,879.05 and 205,979.10

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Solution

The fourth proportional to 275,790.30, 412,879.05 and 205,979.10 is: 308,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,790.30 : 412,879.05 = 205,979.10 : x
  2. Step 2: Convert to fraction form
    275,790.30/412,879.05 = 205,979.10/x
  3. Step 3: Cross multiply
    275,790.30x = 412,879.05 × 205,979.10
  4. Step 4: Simplify right side
    275,790.30x = 85,044,455,127.86
  5. Step 5: Solve for x
    x = 85,044,455,127.86/275,790.30
  6. Step 6: Final answer
    x = 308,366.38

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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.