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Finding the Fourth Proportional to 272,617.82, 408,991.40 and 85,629.32

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Solution

The fourth proportional to 272,617.82, 408,991.40 and 85,629.32 is: 128,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,617.82 : 408,991.40 = 85,629.32 : x
  2. Step 2: Convert to fraction form
    272,617.82/408,991.40 = 85,629.32/x
  3. Step 3: Cross multiply
    272,617.82x = 408,991.40 × 85,629.32
  4. Step 4: Simplify right side
    272,617.82x = 35,021,655,039.70
  5. Step 5: Solve for x
    x = 35,021,655,039.70/272,617.82
  6. Step 6: Final answer
    x = 128,464.29

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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.