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Finding the Fourth Proportional to 308,563.26, 462,678.46 and 139,991.61

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Solution

The fourth proportional to 308,563.26, 462,678.46 and 139,991.61 is: 209,911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,563.26 : 462,678.46 = 139,991.61 : x
  2. Step 2: Convert to fraction form
    308,563.26/462,678.46 = 139,991.61/x
  3. Step 3: Cross multiply
    308,563.26x = 462,678.46 × 139,991.61
  4. Step 4: Simplify right side
    308,563.26x = 64,771,102,527.72
  5. Step 5: Solve for x
    x = 64,771,102,527.72/308,563.26
  6. Step 6: Final answer
    x = 209,911.91

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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.