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Finding the Fourth Proportional to 263,992.72, 363,957.52 and 209,724.96

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Solution

The fourth proportional to 263,992.72, 363,957.52 and 209,724.96 is: 289,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,992.72 : 363,957.52 = 209,724.96 : x
  2. Step 2: Convert to fraction form
    263,992.72/363,957.52 = 209,724.96/x
  3. Step 3: Cross multiply
    263,992.72x = 363,957.52 × 209,724.96
  4. Step 4: Simplify right side
    263,992.72x = 76,330,976,323.70
  5. Step 5: Solve for x
    x = 76,330,976,323.70/263,992.72
  6. Step 6: Final answer
    x = 289,140.46

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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.