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Finding the Fourth Proportional to 422,685, 634,064.39 and 107,141.88

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Solution

The fourth proportional to 422,685, 634,064.39 and 107,141.88 is: 160,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,685 : 634,064.39 = 107,141.88 : x
  2. Step 2: Convert to fraction form
    422,685/634,064.39 = 107,141.88/x
  3. Step 3: Cross multiply
    422,685x = 634,064.39 × 107,141.88
  4. Step 4: Simplify right side
    422,685x = 67,934,850,785.65
  5. Step 5: Solve for x
    x = 67,934,850,785.65/422,685
  6. Step 6: Final answer
    x = 160,722.17

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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.