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Finding the Fourth Proportional to 320,684.42, 481,042.13 and 84,027.33

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Solution

The fourth proportional to 320,684.42, 481,042.13 and 84,027.33 is: 126,045.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,684.42 : 481,042.13 = 84,027.33 : x
  2. Step 2: Convert to fraction form
    320,684.42/481,042.13 = 84,027.33/x
  3. Step 3: Cross multiply
    320,684.42x = 481,042.13 × 84,027.33
  4. Step 4: Simplify right side
    320,684.42x = 40,420,685,381.28
  5. Step 5: Solve for x
    x = 40,420,685,381.28/320,684.42
  6. Step 6: Final answer
    x = 126,045.06

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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.