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Finding the Fourth Proportional to 251,696.80, 377,545.20 and 205,616.80

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Solution

The fourth proportional to 251,696.80, 377,545.20 and 205,616.80 is: 308,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,696.80 : 377,545.20 = 205,616.80 : x
  2. Step 2: Convert to fraction form
    251,696.80/377,545.20 = 205,616.80/x
  3. Step 3: Cross multiply
    251,696.80x = 377,545.20 × 205,616.80
  4. Step 4: Simplify right side
    251,696.80x = 77,629,635,879.36
  5. Step 5: Solve for x
    x = 77,629,635,879.36/251,696.80
  6. Step 6: Final answer
    x = 308,425.20

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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.