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Finding the Fourth Proportional to 308,979.75, 463,721.04 and 159,262.85

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Solution

The fourth proportional to 308,979.75, 463,721.04 and 159,262.85 is: 239,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,979.75 : 463,721.04 = 159,262.85 : x
  2. Step 2: Convert to fraction form
    308,979.75/463,721.04 = 159,262.85/x
  3. Step 3: Cross multiply
    308,979.75x = 463,721.04 × 159,262.85
  4. Step 4: Simplify right side
    308,979.75x = 73,853,535,594.67
  5. Step 5: Solve for x
    x = 73,853,535,594.67/308,979.75
  6. Step 6: Final answer
    x = 239,023.87

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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.