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Finding the Fourth Proportional to 318,678, 439,796.64 and 184,542

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Solution

The fourth proportional to 318,678, 439,796.64 and 184,542 is: 254,680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,678 : 439,796.64 = 184,542 : x
  2. Step 2: Convert to fraction form
    318,678/439,796.64 = 184,542/x
  3. Step 3: Cross multiply
    318,678x = 439,796.64 × 184,542
  4. Step 4: Simplify right side
    318,678x = 81,160,951,538.88
  5. Step 5: Solve for x
    x = 81,160,951,538.88/318,678
  6. Step 6: Final answer
    x = 254,680.12

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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.