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Finding the Fourth Proportional to 298,696.59, 411,924.42 and 217,996.29

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Solution

The fourth proportional to 298,696.59, 411,924.42 and 217,996.29 is: 300,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,696.59 : 411,924.42 = 217,996.29 : x
  2. Step 2: Convert to fraction form
    298,696.59/411,924.42 = 217,996.29/x
  3. Step 3: Cross multiply
    298,696.59x = 411,924.42 × 217,996.29
  4. Step 4: Simplify right side
    298,696.59x = 89,797,995,320.40
  5. Step 5: Solve for x
    x = 89,797,995,320.40/298,696.59
  6. Step 6: Final answer
    x = 300,632.81

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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.