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Finding the Fourth Proportional to 273,997, 410,995.50 and 77,005

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Solution

The fourth proportional to 273,997, 410,995.50 and 77,005 is: 115,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,997 : 410,995.50 = 77,005 : x
  2. Step 2: Convert to fraction form
    273,997/410,995.50 = 77,005/x
  3. Step 3: Cross multiply
    273,997x = 410,995.50 × 77,005
  4. Step 4: Simplify right side
    273,997x = 31,648,708,477.50
  5. Step 5: Solve for x
    x = 31,648,708,477.50/273,997
  6. Step 6: Final answer
    x = 115,507.50

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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.