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Finding the Fourth Proportional to 543,809.90, 815,797.74 and 277,425.12

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Solution

The fourth proportional to 543,809.90, 815,797.74 and 277,425.12 is: 416,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,809.90 : 815,797.74 = 277,425.12 : x
  2. Step 2: Convert to fraction form
    543,809.90/815,797.74 = 277,425.12/x
  3. Step 3: Cross multiply
    543,809.90x = 815,797.74 × 277,425.12
  4. Step 4: Simplify right side
    543,809.90x = 226,322,785,915.23
  5. Step 5: Solve for x
    x = 226,322,785,915.23/543,809.90
  6. Step 6: Final answer
    x = 416,179.97

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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.