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Finding the Fourth Proportional to 282,146.94, 389,367.54 and 154,834.38

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Solution

The fourth proportional to 282,146.94, 389,367.54 and 154,834.38 is: 213,674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,146.94 : 389,367.54 = 154,834.38 : x
  2. Step 2: Convert to fraction form
    282,146.94/389,367.54 = 154,834.38/x
  3. Step 3: Cross multiply
    282,146.94x = 389,367.54 × 154,834.38
  4. Step 4: Simplify right side
    282,146.94x = 60,287,481,648.03
  5. Step 5: Solve for x
    x = 60,287,481,648.03/282,146.94
  6. Step 6: Final answer
    x = 213,674.06

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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.