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Finding the Fourth Proportional to 308,349.36, 462,517.32 and 142,137.36

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Solution

The fourth proportional to 308,349.36, 462,517.32 and 142,137.36 is: 213,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,349.36 : 462,517.32 = 142,137.36 : x
  2. Step 2: Convert to fraction form
    308,349.36/462,517.32 = 142,137.36/x
  3. Step 3: Cross multiply
    308,349.36x = 462,517.32 × 142,137.36
  4. Step 4: Simplify right side
    308,349.36x = 65,740,990,819.08
  5. Step 5: Solve for x
    x = 65,740,990,819.08/308,349.36
  6. Step 6: Final answer
    x = 213,202.94

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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.