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Finding the Fourth Proportional to 398,602.44, 550,043.73 and 224,198.82

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Solution

The fourth proportional to 398,602.44, 550,043.73 and 224,198.82 is: 309,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,602.44 : 550,043.73 = 224,198.82 : x
  2. Step 2: Convert to fraction form
    398,602.44/550,043.73 = 224,198.82/x
  3. Step 3: Cross multiply
    398,602.44x = 550,043.73 × 224,198.82
  4. Step 4: Simplify right side
    398,602.44x = 123,319,155,214.40
  5. Step 5: Solve for x
    x = 123,319,155,214.40/398,602.44
  6. Step 6: Final answer
    x = 309,378.83

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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.