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Finding the Fourth Proportional to 298,186.33, 410,930.25 and 213,155.77

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Solution

The fourth proportional to 298,186.33, 410,930.25 and 213,155.77 is: 293,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,186.33 : 410,930.25 = 213,155.77 : x
  2. Step 2: Convert to fraction form
    298,186.33/410,930.25 = 213,155.77/x
  3. Step 3: Cross multiply
    298,186.33x = 410,930.25 × 213,155.77
  4. Step 4: Simplify right side
    298,186.33x = 87,592,153,855.04
  5. Step 5: Solve for x
    x = 87,592,153,855.04/298,186.33
  6. Step 6: Final answer
    x = 293,749.73

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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.