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Finding the Fourth Proportional to 422,451.90, 633,470.49 and 208,973.16

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Solution

The fourth proportional to 422,451.90, 633,470.49 and 208,973.16 is: 313,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,451.90 : 633,470.49 = 208,973.16 : x
  2. Step 2: Convert to fraction form
    422,451.90/633,470.49 = 208,973.16/x
  3. Step 3: Cross multiply
    422,451.90x = 633,470.49 × 208,973.16
  4. Step 4: Simplify right side
    422,451.90x = 132,378,330,062.05
  5. Step 5: Solve for x
    x = 132,378,330,062.05/422,451.90
  6. Step 6: Final answer
    x = 313,357.17

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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.