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Finding the Fourth Proportional to 422,145.20, 634,139.40 and 297,729.20

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Solution

The fourth proportional to 422,145.20, 634,139.40 and 297,729.20 is: 447,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,145.20 : 634,139.40 = 297,729.20 : x
  2. Step 2: Convert to fraction form
    422,145.20/634,139.40 = 297,729.20/x
  3. Step 3: Cross multiply
    422,145.20x = 634,139.40 × 297,729.20
  4. Step 4: Simplify right side
    422,145.20x = 188,801,816,250.48
  5. Step 5: Solve for x
    x = 188,801,816,250.48/422,145.20
  6. Step 6: Final answer
    x = 447,243.78

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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.