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Finding the Fourth Proportional to 422,922.87, 634,515.82 and 138,615.91

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Solution

The fourth proportional to 422,922.87, 634,515.82 and 138,615.91 is: 207,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,922.87 : 634,515.82 = 138,615.91 : x
  2. Step 2: Convert to fraction form
    422,922.87/634,515.82 = 138,615.91/x
  3. Step 3: Cross multiply
    422,922.87x = 634,515.82 × 138,615.91
  4. Step 4: Simplify right side
    422,922.87x = 87,953,987,798.70
  5. Step 5: Solve for x
    x = 87,953,987,798.70/422,922.87
  6. Step 6: Final answer
    x = 207,966.97

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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.