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Finding the Fourth Proportional to 408,940.69, 613,466.93 and 142,661.29

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Solution

The fourth proportional to 408,940.69, 613,466.93 and 142,661.29 is: 214,011.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,940.69 : 613,466.93 = 142,661.29 : x
  2. Step 2: Convert to fraction form
    408,940.69/613,466.93 = 142,661.29/x
  3. Step 3: Cross multiply
    408,940.69x = 613,466.93 × 142,661.29
  4. Step 4: Simplify right side
    408,940.69x = 87,517,981,359.17
  5. Step 5: Solve for x
    x = 87,517,981,359.17/408,940.69
  6. Step 6: Final answer
    x = 214,011.43

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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.