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Finding the Fourth Proportional to 422,511.80, 633,863.70 and 142,057.40

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Solution

The fourth proportional to 422,511.80, 633,863.70 and 142,057.40 is: 213,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,511.80 : 633,863.70 = 142,057.40 : x
  2. Step 2: Convert to fraction form
    422,511.80/633,863.70 = 142,057.40/x
  3. Step 3: Cross multiply
    422,511.80x = 633,863.70 × 142,057.40
  4. Step 4: Simplify right side
    422,511.80x = 90,045,029,176.38
  5. Step 5: Solve for x
    x = 90,045,029,176.38/422,511.80
  6. Step 6: Final answer
    x = 213,118.38

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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.