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Finding the Fourth Proportional to 320,635.44, 442,438 and 184,713.38

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Solution

The fourth proportional to 320,635.44, 442,438 and 184,713.38 is: 254,882.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,635.44 : 442,438 = 184,713.38 : x
  2. Step 2: Convert to fraction form
    320,635.44/442,438 = 184,713.38/x
  3. Step 3: Cross multiply
    320,635.44x = 442,438 × 184,713.38
  4. Step 4: Simplify right side
    320,635.44x = 81,724,218,420.44
  5. Step 5: Solve for x
    x = 81,724,218,420.44/320,635.44
  6. Step 6: Final answer
    x = 254,882.05

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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.