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Finding the Fourth Proportional to 359,965.14, 496,815.66 and 206,991.47

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Solution

The fourth proportional to 359,965.14, 496,815.66 and 206,991.47 is: 285,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,965.14 : 496,815.66 = 206,991.47 : x
  2. Step 2: Convert to fraction form
    359,965.14/496,815.66 = 206,991.47/x
  3. Step 3: Cross multiply
    359,965.14x = 496,815.66 × 206,991.47
  4. Step 4: Simplify right side
    359,965.14x = 102,836,601,298.34
  5. Step 5: Solve for x
    x = 102,836,601,298.34/359,965.14
  6. Step 6: Final answer
    x = 285,684.89

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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.