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Finding the Fourth Proportional to 422,206.72, 633,336 and 185,660.80

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Solution

The fourth proportional to 422,206.72, 633,336 and 185,660.80 is: 278,502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,206.72 : 633,336 = 185,660.80 : x
  2. Step 2: Convert to fraction form
    422,206.72/633,336 = 185,660.80/x
  3. Step 3: Cross multiply
    422,206.72x = 633,336 × 185,660.80
  4. Step 4: Simplify right side
    422,206.72x = 117,585,668,428.80
  5. Step 5: Solve for x
    x = 117,585,668,428.80/422,206.72
  6. Step 6: Final answer
    x = 278,502.60

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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.