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Finding the Fourth Proportional to 312,662.91, 468,990.94 and 76,005.81

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Solution

The fourth proportional to 312,662.91, 468,990.94 and 76,005.81 is: 114,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,662.91 : 468,990.94 = 76,005.81 : x
  2. Step 2: Convert to fraction form
    312,662.91/468,990.94 = 76,005.81/x
  3. Step 3: Cross multiply
    312,662.91x = 468,990.94 × 76,005.81
  4. Step 4: Simplify right side
    312,662.91x = 35,646,036,277.36
  5. Step 5: Solve for x
    x = 35,646,036,277.36/312,662.91
  6. Step 6: Final answer
    x = 114,007.88

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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.