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Finding the Fourth Proportional to 298,906.65, 418,780.35 and 298,906.65

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Solution

The fourth proportional to 298,906.65, 418,780.35 and 298,906.65 is: 418,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,906.65 : 418,780.35 = 298,906.65 : x
  2. Step 2: Convert to fraction form
    298,906.65/418,780.35 = 298,906.65/x
  3. Step 3: Cross multiply
    298,906.65x = 418,780.35 × 298,906.65
  4. Step 4: Simplify right side
    298,906.65x = 125,176,231,504.33
  5. Step 5: Solve for x
    x = 125,176,231,504.33/298,906.65
  6. Step 6: Final answer
    x = 418,780.35

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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.