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Finding the Fourth Proportional to 282,270.48, 389,469 and 167,489.88

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Solution

The fourth proportional to 282,270.48, 389,469 and 167,489.88 is: 231,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,270.48 : 389,469 = 167,489.88 : x
  2. Step 2: Convert to fraction form
    282,270.48/389,469 = 167,489.88/x
  3. Step 3: Cross multiply
    282,270.48x = 389,469 × 167,489.88
  4. Step 4: Simplify right side
    282,270.48x = 65,232,116,073.72
  5. Step 5: Solve for x
    x = 65,232,116,073.72/282,270.48
  6. Step 6: Final answer
    x = 231,097.90

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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.