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Finding the Fourth Proportional to 540,639.84, 809,778.50 and 273,942.48

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Solution

The fourth proportional to 540,639.84, 809,778.50 and 273,942.48 is: 410,315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,639.84 : 809,778.50 = 273,942.48 : x
  2. Step 2: Convert to fraction form
    540,639.84/809,778.50 = 273,942.48/x
  3. Step 3: Cross multiply
    540,639.84x = 809,778.50 × 273,942.48
  4. Step 4: Simplify right side
    540,639.84x = 221,832,730,540.68
  5. Step 5: Solve for x
    x = 221,832,730,540.68/540,639.84
  6. Step 6: Final answer
    x = 410,315.17

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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.