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Finding the Fourth Proportional to 388,230.20, 535,757.46 and 218,464.46

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Solution

The fourth proportional to 388,230.20, 535,757.46 and 218,464.46 is: 301,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,230.20 : 535,757.46 = 218,464.46 : x
  2. Step 2: Convert to fraction form
    388,230.20/535,757.46 = 218,464.46/x
  3. Step 3: Cross multiply
    388,230.20x = 535,757.46 × 218,464.46
  4. Step 4: Simplify right side
    388,230.20x = 117,043,964,189.87
  5. Step 5: Solve for x
    x = 117,043,964,189.87/388,230.20
  6. Step 6: Final answer
    x = 301,480.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.