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Finding the Fourth Proportional to 422,730.56, 634,178.72 and 156,493.12

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Solution

The fourth proportional to 422,730.56, 634,178.72 and 156,493.12 is: 234,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,730.56 : 634,178.72 = 156,493.12 : x
  2. Step 2: Convert to fraction form
    422,730.56/634,178.72 = 156,493.12/x
  3. Step 3: Cross multiply
    422,730.56x = 634,178.72 × 156,493.12
  4. Step 4: Simplify right side
    422,730.56x = 99,244,606,530.41
  5. Step 5: Solve for x
    x = 99,244,606,530.41/422,730.56
  6. Step 6: Final answer
    x = 234,770.36

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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.