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Finding the Fourth Proportional to 422,814.40, 634,217.28 and 142,329.76

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Solution

The fourth proportional to 422,814.40, 634,217.28 and 142,329.76 is: 213,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,814.40 : 634,217.28 = 142,329.76 : x
  2. Step 2: Convert to fraction form
    422,814.40/634,217.28 = 142,329.76/x
  3. Step 3: Cross multiply
    422,814.40x = 634,217.28 × 142,329.76
  4. Step 4: Simplify right side
    422,814.40x = 90,267,993,250.25
  5. Step 5: Solve for x
    x = 90,267,993,250.25/422,814.40
  6. Step 6: Final answer
    x = 213,493.19

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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.