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Finding the Fourth Proportional to 386,084.97, 579,329.40 and 280,342.41

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Solution

The fourth proportional to 386,084.97, 579,329.40 and 280,342.41 is: 420,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,084.97 : 579,329.40 = 280,342.41 : x
  2. Step 2: Convert to fraction form
    386,084.97/579,329.40 = 280,342.41/x
  3. Step 3: Cross multiply
    386,084.97x = 579,329.40 × 280,342.41
  4. Step 4: Simplify right side
    386,084.97x = 162,410,600,179.85
  5. Step 5: Solve for x
    x = 162,410,600,179.85/386,084.97
  6. Step 6: Final answer
    x = 420,660.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.