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Finding the Fourth Proportional to 282,260.94, 389,517.75 and 154,928.94

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Solution

The fourth proportional to 282,260.94, 389,517.75 and 154,928.94 is: 213,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,260.94 : 389,517.75 = 154,928.94 : x
  2. Step 2: Convert to fraction form
    282,260.94/389,517.75 = 154,928.94/x
  3. Step 3: Cross multiply
    282,260.94x = 389,517.75 × 154,928.94
  4. Step 4: Simplify right side
    282,260.94x = 60,347,572,118.69
  5. Step 5: Solve for x
    x = 60,347,572,118.69/282,260.94
  6. Step 6: Final answer
    x = 213,800.65

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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.