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Finding the Fourth Proportional to 422,694.50, 634,124.64 and 156,457.28

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Solution

The fourth proportional to 422,694.50, 634,124.64 and 156,457.28 is: 234,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,694.50 : 634,124.64 = 156,457.28 : x
  2. Step 2: Convert to fraction form
    422,694.50/634,124.64 = 156,457.28/x
  3. Step 3: Cross multiply
    422,694.50x = 634,124.64 × 156,457.28
  4. Step 4: Simplify right side
    422,694.50x = 99,213,416,355.38
  5. Step 5: Solve for x
    x = 99,213,416,355.38/422,694.50
  6. Step 6: Final answer
    x = 234,716.60

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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.