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Finding the Fourth Proportional to 209,990.68, 287,468.75 and 208,489.85

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Solution

The fourth proportional to 209,990.68, 287,468.75 and 208,489.85 is: 285,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,990.68 : 287,468.75 = 208,489.85 : x
  2. Step 2: Convert to fraction form
    209,990.68/287,468.75 = 208,489.85/x
  3. Step 3: Cross multiply
    209,990.68x = 287,468.75 × 208,489.85
  4. Step 4: Simplify right side
    209,990.68x = 59,934,315,556.32
  5. Step 5: Solve for x
    x = 59,934,315,556.32/209,990.68
  6. Step 6: Final answer
    x = 285,414.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.