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Finding the Fourth Proportional to 361,708.36, 499,169.88 and 200,554

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Solution

The fourth proportional to 361,708.36, 499,169.88 and 200,554 is: 276,771.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,708.36 : 499,169.88 = 200,554 : x
  2. Step 2: Convert to fraction form
    361,708.36/499,169.88 = 200,554/x
  3. Step 3: Cross multiply
    361,708.36x = 499,169.88 × 200,554
  4. Step 4: Simplify right side
    361,708.36x = 100,110,516,113.52
  5. Step 5: Solve for x
    x = 100,110,516,113.52/361,708.36
  6. Step 6: Final answer
    x = 276,771.36

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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.