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Finding the Fourth Proportional to 509,652.78, 765,069.73 and 273,456.78

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Solution

The fourth proportional to 509,652.78, 765,069.73 and 273,456.78 is: 410,502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,652.78 : 765,069.73 = 273,456.78 : x
  2. Step 2: Convert to fraction form
    509,652.78/765,069.73 = 273,456.78/x
  3. Step 3: Cross multiply
    509,652.78x = 765,069.73 × 273,456.78
  4. Step 4: Simplify right side
    509,652.78x = 209,213,501,288.62
  5. Step 5: Solve for x
    x = 209,213,501,288.62/509,652.78
  6. Step 6: Final answer
    x = 410,502.03

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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.