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Finding the Fourth Proportional to 277,516.20, 416,274.30 and 202,283.40

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Solution

The fourth proportional to 277,516.20, 416,274.30 and 202,283.40 is: 303,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,516.20 : 416,274.30 = 202,283.40 : x
  2. Step 2: Convert to fraction form
    277,516.20/416,274.30 = 202,283.40/x
  3. Step 3: Cross multiply
    277,516.20x = 416,274.30 × 202,283.40
  4. Step 4: Simplify right side
    277,516.20x = 84,205,380,736.62
  5. Step 5: Solve for x
    x = 84,205,380,736.62/277,516.20
  6. Step 6: Final answer
    x = 303,425.10

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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.