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Finding the Fourth Proportional to 308,616.48, 462,942.78 and 119,077.86

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Solution

The fourth proportional to 308,616.48, 462,942.78 and 119,077.86 is: 178,623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,616.48 : 462,942.78 = 119,077.86 : x
  2. Step 2: Convert to fraction form
    308,616.48/462,942.78 = 119,077.86/x
  3. Step 3: Cross multiply
    308,616.48x = 462,942.78 × 119,077.86
  4. Step 4: Simplify right side
    308,616.48x = 55,126,235,544.85
  5. Step 5: Solve for x
    x = 55,126,235,544.85/308,616.48
  6. Step 6: Final answer
    x = 178,623.76

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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.