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Finding the Fourth Proportional to 422,981.91, 634,510.16 and 119,378.77

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Solution

The fourth proportional to 422,981.91, 634,510.16 and 119,378.77 is: 179,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,981.91 : 634,510.16 = 119,378.77 : x
  2. Step 2: Convert to fraction form
    422,981.91/634,510.16 = 119,378.77/x
  3. Step 3: Cross multiply
    422,981.91x = 634,510.16 × 119,378.77
  4. Step 4: Simplify right side
    422,981.91x = 75,747,042,453.30
  5. Step 5: Solve for x
    x = 75,747,042,453.30/422,981.91
  6. Step 6: Final answer
    x = 179,078.68

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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.