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Finding the Fourth Proportional to 422,684.50, 634,063.64 and 107,141.38

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Solution

The fourth proportional to 422,684.50, 634,063.64 and 107,141.38 is: 160,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,684.50 : 634,063.64 = 107,141.38 : x
  2. Step 2: Convert to fraction form
    422,684.50/634,063.64 = 107,141.38/x
  3. Step 3: Cross multiply
    422,684.50x = 634,063.64 × 107,141.38
  4. Step 4: Simplify right side
    422,684.50x = 67,934,453,397.42
  5. Step 5: Solve for x
    x = 67,934,453,397.42/422,684.50
  6. Step 6: Final answer
    x = 160,721.42

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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.