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Finding the Fourth Proportional to 422,761.20, 634,141.80 and 212,809.20

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Solution

The fourth proportional to 422,761.20, 634,141.80 and 212,809.20 is: 319,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,761.20 : 634,141.80 = 212,809.20 : x
  2. Step 2: Convert to fraction form
    422,761.20/634,141.80 = 212,809.20/x
  3. Step 3: Cross multiply
    422,761.20x = 634,141.80 × 212,809.20
  4. Step 4: Simplify right side
    422,761.20x = 134,951,209,144.56
  5. Step 5: Solve for x
    x = 134,951,209,144.56/422,761.20
  6. Step 6: Final answer
    x = 319,213.80

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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.