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Finding the Fourth Proportional to 408,786.50, 613,214.31 and 113,298.50

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Solution

The fourth proportional to 408,786.50, 613,214.31 and 113,298.50 is: 169,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,786.50 : 613,214.31 = 113,298.50 : x
  2. Step 2: Convert to fraction form
    408,786.50/613,214.31 = 113,298.50/x
  3. Step 3: Cross multiply
    408,786.50x = 613,214.31 × 113,298.50
  4. Step 4: Simplify right side
    408,786.50x = 69,476,261,501.54
  5. Step 5: Solve for x
    x = 69,476,261,501.54/408,786.50
  6. Step 6: Final answer
    x = 169,957.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.