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Finding the Fourth Proportional to 408,787.50, 613,215.81 and 113,299.50

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Solution

The fourth proportional to 408,787.50, 613,215.81 and 113,299.50 is: 169,958.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,787.50 : 613,215.81 = 113,299.50 : x
  2. Step 2: Convert to fraction form
    408,787.50/613,215.81 = 113,299.50/x
  3. Step 3: Cross multiply
    408,787.50x = 613,215.81 × 113,299.50
  4. Step 4: Simplify right side
    408,787.50x = 69,477,044,665.10
  5. Step 5: Solve for x
    x = 69,477,044,665.10/408,787.50
  6. Step 6: Final answer
    x = 169,958.83

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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.