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Finding the Fourth Proportional to 308,224.77, 462,256.96 and 130,640.37

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Solution

The fourth proportional to 308,224.77, 462,256.96 and 130,640.37 is: 195,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,224.77 : 462,256.96 = 130,640.37 : x
  2. Step 2: Convert to fraction form
    308,224.77/462,256.96 = 130,640.37/x
  3. Step 3: Cross multiply
    308,224.77x = 462,256.96 × 130,640.37
  4. Step 4: Simplify right side
    308,224.77x = 60,389,418,474.36
  5. Step 5: Solve for x
    x = 60,389,418,474.36/308,224.77
  6. Step 6: Final answer
    x = 195,926.56

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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.