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Finding the Fourth Proportional to 370,692, 511,556.04 and 200,926.80

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Solution

The fourth proportional to 370,692, 511,556.04 and 200,926.80 is: 277,279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,692 : 511,556.04 = 200,926.80 : x
  2. Step 2: Convert to fraction form
    370,692/511,556.04 = 200,926.80/x
  3. Step 3: Cross multiply
    370,692x = 511,556.04 × 200,926.80
  4. Step 4: Simplify right side
    370,692x = 102,785,318,137.87
  5. Step 5: Solve for x
    x = 102,785,318,137.87/370,692
  6. Step 6: Final answer
    x = 277,279.57

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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.