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Finding the Fourth Proportional to 361,564.50, 498,906.63 and 200,419.50

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Solution

The fourth proportional to 361,564.50, 498,906.63 and 200,419.50 is: 276,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,564.50 : 498,906.63 = 200,419.50 : x
  2. Step 2: Convert to fraction form
    361,564.50/498,906.63 = 200,419.50/x
  3. Step 3: Cross multiply
    361,564.50x = 498,906.63 × 200,419.50
  4. Step 4: Simplify right side
    361,564.50x = 99,990,617,331.29
  5. Step 5: Solve for x
    x = 99,990,617,331.29/361,564.50
  6. Step 6: Final answer
    x = 276,549.88

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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.