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Finding the Fourth Proportional to 281,116.17, 388,176.71 and 200,790.09

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Solution

The fourth proportional to 281,116.17, 388,176.71 and 200,790.09 is: 277,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,116.17 : 388,176.71 = 200,790.09 : x
  2. Step 2: Convert to fraction form
    281,116.17/388,176.71 = 200,790.09/x
  3. Step 3: Cross multiply
    281,116.17x = 388,176.71 × 200,790.09
  4. Step 4: Simplify right side
    281,116.17x = 77,942,035,532.85
  5. Step 5: Solve for x
    x = 77,942,035,532.85/281,116.17
  6. Step 6: Final answer
    x = 277,259.17

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1.5x scale

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.