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Finding the Fourth Proportional to 303,971.71, 419,538.81 and 200,423.74

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Solution

The fourth proportional to 303,971.71, 419,538.81 and 200,423.74 is: 276,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,971.71 : 419,538.81 = 200,423.74 : x
  2. Step 2: Convert to fraction form
    303,971.71/419,538.81 = 200,423.74/x
  3. Step 3: Cross multiply
    303,971.71x = 419,538.81 × 200,423.74
  4. Step 4: Simplify right side
    303,971.71x = 84,085,537,375.35
  5. Step 5: Solve for x
    x = 84,085,537,375.35/303,971.71
  6. Step 6: Final answer
    x = 276,622.90

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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.