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Finding the Fourth Proportional to 282,149.94, 389,371.68 and 154,837.38

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Solution

The fourth proportional to 282,149.94, 389,371.68 and 154,837.38 is: 213,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,149.94 : 389,371.68 = 154,837.38 : x
  2. Step 2: Convert to fraction form
    282,149.94/389,371.68 = 154,837.38/x
  3. Step 3: Cross multiply
    282,149.94x = 389,371.68 × 154,837.38
  4. Step 4: Simplify right side
    282,149.94x = 60,289,290,777.40
  5. Step 5: Solve for x
    x = 60,289,290,777.40/282,149.94
  6. Step 6: Final answer
    x = 213,678.20

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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.