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Finding the Fourth Proportional to 320,811, 442,836 and 186,675

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Solution

The fourth proportional to 320,811, 442,836 and 186,675 is: 257,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,811 : 442,836 = 186,675 : x
  2. Step 2: Convert to fraction form
    320,811/442,836 = 186,675/x
  3. Step 3: Cross multiply
    320,811x = 442,836 × 186,675
  4. Step 4: Simplify right side
    320,811x = 82,666,410,300
  5. Step 5: Solve for x
    x = 82,666,410,300/320,811
  6. Step 6: Final answer
    x = 257,679.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.