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Finding the Fourth Proportional to 245,782.80, 368,285.40 and 206,125.20

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Solution

The fourth proportional to 245,782.80, 368,285.40 and 206,125.20 is: 308,861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,782.80 : 368,285.40 = 206,125.20 : x
  2. Step 2: Convert to fraction form
    245,782.80/368,285.40 = 206,125.20/x
  3. Step 3: Cross multiply
    245,782.80x = 368,285.40 × 206,125.20
  4. Step 4: Simplify right side
    245,782.80x = 75,912,901,732.08
  5. Step 5: Solve for x
    x = 75,912,901,732.08/245,782.80
  6. Step 6: Final answer
    x = 308,861.73

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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.