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Finding the Fourth Proportional to 422,859.84, 634,289.76 and 127,371.84

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Solution

The fourth proportional to 422,859.84, 634,289.76 and 127,371.84 is: 191,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,859.84 : 634,289.76 = 127,371.84 : x
  2. Step 2: Convert to fraction form
    422,859.84/634,289.76 = 127,371.84/x
  3. Step 3: Cross multiply
    422,859.84x = 634,289.76 × 127,371.84
  4. Step 4: Simplify right side
    422,859.84x = 80,790,653,824.36
  5. Step 5: Solve for x
    x = 80,790,653,824.36/422,859.84
  6. Step 6: Final answer
    x = 191,057.76

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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.