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Finding the Fourth Proportional to 263,990.72, 363,954.76 and 209,722.96

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Solution

The fourth proportional to 263,990.72, 363,954.76 and 209,722.96 is: 289,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,990.72 : 363,954.76 = 209,722.96 : x
  2. Step 2: Convert to fraction form
    263,990.72/363,954.76 = 209,722.96/x
  3. Step 3: Cross multiply
    263,990.72x = 363,954.76 × 209,722.96
  4. Step 4: Simplify right side
    263,990.72x = 76,329,669,573.29
  5. Step 5: Solve for x
    x = 76,329,669,573.29/263,990.72
  6. Step 6: Final answer
    x = 289,137.70

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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.