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Finding the Fourth Proportional to 388,455, 582,682.68 and 107,974.68

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Solution

The fourth proportional to 388,455, 582,682.68 and 107,974.68 is: 161,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,455 : 582,682.68 = 107,974.68 : x
  2. Step 2: Convert to fraction form
    388,455/582,682.68 = 107,974.68/x
  3. Step 3: Cross multiply
    388,455x = 582,682.68 × 107,974.68
  4. Step 4: Simplify right side
    388,455x = 62,914,975,914.54
  5. Step 5: Solve for x
    x = 62,914,975,914.54/388,455
  6. Step 6: Final answer
    x = 161,962.07

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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.