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Finding the Fourth Proportional to 408,445.38, 612,668.34 and 127,984.50

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Solution

The fourth proportional to 408,445.38, 612,668.34 and 127,984.50 is: 191,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,445.38 : 612,668.34 = 127,984.50 : x
  2. Step 2: Convert to fraction form
    408,445.38/612,668.34 = 127,984.50/x
  3. Step 3: Cross multiply
    408,445.38x = 612,668.34 × 127,984.50
  4. Step 4: Simplify right side
    408,445.38x = 78,412,051,160.73
  5. Step 5: Solve for x
    x = 78,412,051,160.73/408,445.38
  6. Step 6: Final answer
    x = 191,976.83

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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.