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Finding the Fourth Proportional to 282,546.63, 389,914.49 and 155,230.42

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Solution

The fourth proportional to 282,546.63, 389,914.49 and 155,230.42 is: 214,218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,546.63 : 389,914.49 = 155,230.42 : x
  2. Step 2: Convert to fraction form
    282,546.63/389,914.49 = 155,230.42/x
  3. Step 3: Cross multiply
    282,546.63x = 389,914.49 × 155,230.42
  4. Step 4: Simplify right side
    282,546.63x = 60,526,590,046.79
  5. Step 5: Solve for x
    x = 60,526,590,046.79/282,546.63
  6. Step 6: Final answer
    x = 214,218.06

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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.