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Finding the Fourth Proportional to 398,697.32, 550,194.18 and 219,849.32

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Solution

The fourth proportional to 398,697.32, 550,194.18 and 219,849.32 is: 303,387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,697.32 : 550,194.18 = 219,849.32 : x
  2. Step 2: Convert to fraction form
    398,697.32/550,194.18 = 219,849.32/x
  3. Step 3: Cross multiply
    398,697.32x = 550,194.18 × 219,849.32
  4. Step 4: Simplify right side
    398,697.32x = 120,959,816,340.96
  5. Step 5: Solve for x
    x = 120,959,816,340.96/398,697.32
  6. Step 6: Final answer
    x = 303,387.58

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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.