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Finding the Fourth Proportional to 509,932.80, 765,488.48 and 273,736.80

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Solution

The fourth proportional to 509,932.80, 765,488.48 and 273,736.80 is: 410,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,932.80 : 765,488.48 = 273,736.80 : x
  2. Step 2: Convert to fraction form
    509,932.80/765,488.48 = 273,736.80/x
  3. Step 3: Cross multiply
    509,932.80x = 765,488.48 × 273,736.80
  4. Step 4: Simplify right side
    509,932.80x = 209,542,365,583.38
  5. Step 5: Solve for x
    x = 209,542,365,583.38/509,932.80
  6. Step 6: Final answer
    x = 410,921.53

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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.