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Finding the Fourth Proportional to 388,243.15, 582,423.48 and 121,978.60

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Solution

The fourth proportional to 388,243.15, 582,423.48 and 121,978.60 is: 182,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,243.15 : 582,423.48 = 121,978.60 : x
  2. Step 2: Convert to fraction form
    388,243.15/582,423.48 = 121,978.60/x
  3. Step 3: Cross multiply
    388,243.15x = 582,423.48 × 121,978.60
  4. Step 4: Simplify right side
    388,243.15x = 71,043,199,241.47
  5. Step 5: Solve for x
    x = 71,043,199,241.47/388,243.15
  6. Step 6: Final answer
    x = 182,986.36

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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.