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Finding the Fourth Proportional to 308,724.37, 462,820.39 and 119,317.61

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Solution

The fourth proportional to 308,724.37, 462,820.39 and 119,317.61 is: 178,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,724.37 : 462,820.39 = 119,317.61 : x
  2. Step 2: Convert to fraction form
    308,724.37/462,820.39 = 119,317.61/x
  3. Step 3: Cross multiply
    308,724.37x = 462,820.39 × 119,317.61
  4. Step 4: Simplify right side
    308,724.37x = 55,222,623,652.82
  5. Step 5: Solve for x
    x = 55,222,623,652.82/308,724.37
  6. Step 6: Final answer
    x = 178,873.55

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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.