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Finding the Fourth Proportional to 282,161.96, 389,382.36 and 154,839.68

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Solution

The fourth proportional to 282,161.96, 389,382.36 and 154,839.68 is: 213,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,161.96 : 389,382.36 = 154,839.68 : x
  2. Step 2: Convert to fraction form
    282,161.96/389,382.36 = 154,839.68/x
  3. Step 3: Cross multiply
    282,161.96x = 389,382.36 × 154,839.68
  4. Step 4: Simplify right side
    282,161.96x = 60,291,840,020.04
  5. Step 5: Solve for x
    x = 60,291,840,020.04/282,161.96
  6. Step 6: Final answer
    x = 213,678.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.