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Finding the Fourth Proportional to 388,107.42, 582,185.70 and 121,878.42

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Solution

The fourth proportional to 388,107.42, 582,185.70 and 121,878.42 is: 182,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,107.42 : 582,185.70 = 121,878.42 : x
  2. Step 2: Convert to fraction form
    388,107.42/582,185.70 = 121,878.42/x
  3. Step 3: Cross multiply
    388,107.42x = 582,185.70 × 121,878.42
  4. Step 4: Simplify right side
    388,107.42x = 70,955,873,262.59
  5. Step 5: Solve for x
    x = 70,955,873,262.59/388,107.42
  6. Step 6: Final answer
    x = 182,825.35

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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.