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Finding the Fourth Proportional to 422,645.76, 634,318.72 and 212,344.32

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Solution

The fourth proportional to 422,645.76, 634,318.72 and 212,344.32 is: 318,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,645.76 : 634,318.72 = 212,344.32 : x
  2. Step 2: Convert to fraction form
    422,645.76/634,318.72 = 212,344.32/x
  3. Step 3: Cross multiply
    422,645.76x = 634,318.72 × 212,344.32
  4. Step 4: Simplify right side
    422,645.76x = 134,693,977,261.67
  5. Step 5: Solve for x
    x = 134,693,977,261.67/422,645.76
  6. Step 6: Final answer
    x = 318,692.37

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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.