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Finding the Fourth Proportional to 422,455.28, 633,475.55 and 208,976.54

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Solution

The fourth proportional to 422,455.28, 633,475.55 and 208,976.54 is: 313,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,455.28 : 633,475.55 = 208,976.54 : x
  2. Step 2: Convert to fraction form
    422,455.28/633,475.55 = 208,976.54/x
  3. Step 3: Cross multiply
    422,455.28x = 633,475.55 × 208,976.54
  4. Step 4: Simplify right side
    422,455.28x = 132,381,525,968.66
  5. Step 5: Solve for x
    x = 132,381,525,968.66/422,455.28
  6. Step 6: Final answer
    x = 313,362.23

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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.