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Finding the Fourth Proportional to 408,445.20, 612,668.16 and 127,984.32

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Solution

The fourth proportional to 408,445.20, 612,668.16 and 127,984.32 is: 191,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,445.20 : 612,668.16 = 127,984.32 : x
  2. Step 2: Convert to fraction form
    408,445.20/612,668.16 = 127,984.32/x
  3. Step 3: Cross multiply
    408,445.20x = 612,668.16 × 127,984.32
  4. Step 4: Simplify right side
    408,445.20x = 78,411,917,843.25
  5. Step 5: Solve for x
    x = 78,411,917,843.25/408,445.20
  6. Step 6: Final answer
    x = 191,976.59

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1.5x scale

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.