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Finding the Fourth Proportional to 206,811.35, 289,929.55 and 206,811.35

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Solution

The fourth proportional to 206,811.35, 289,929.55 and 206,811.35 is: 289,929.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,811.35 : 289,929.55 = 206,811.35 : x
  2. Step 2: Convert to fraction form
    206,811.35/289,929.55 = 206,811.35/x
  3. Step 3: Cross multiply
    206,811.35x = 289,929.55 × 206,811.35
  4. Step 4: Simplify right side
    206,811.35x = 59,960,721,640.39
  5. Step 5: Solve for x
    x = 59,960,721,640.39/206,811.35
  6. Step 6: Final answer
    x = 289,929.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.