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Finding the Fourth Proportional to 422,970.93, 634,426.83 and 198,380.61

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Solution

The fourth proportional to 422,970.93, 634,426.83 and 198,380.61 is: 297,557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,970.93 : 634,426.83 = 198,380.61 : x
  2. Step 2: Convert to fraction form
    422,970.93/634,426.83 = 198,380.61/x
  3. Step 3: Cross multiply
    422,970.93x = 634,426.83 × 198,380.61
  4. Step 4: Simplify right side
    422,970.93x = 125,857,981,535.77
  5. Step 5: Solve for x
    x = 125,857,981,535.77/422,970.93
  6. Step 6: Final answer
    x = 297,557.05

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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.