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Finding the Fourth Proportional to 359,879.12, 496,630.64 and 198,732.88

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Solution

The fourth proportional to 359,879.12, 496,630.64 and 198,732.88 is: 274,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,879.12 : 496,630.64 = 198,732.88 : x
  2. Step 2: Convert to fraction form
    359,879.12/496,630.64 = 198,732.88/x
  3. Step 3: Cross multiply
    359,879.12x = 496,630.64 × 198,732.88
  4. Step 4: Simplify right side
    359,879.12x = 98,696,837,383.44
  5. Step 5: Solve for x
    x = 98,696,837,383.44/359,879.12
  6. Step 6: Final answer
    x = 274,249.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.