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Finding the Fourth Proportional to 408,433.88, 612,651.09 and 127,973

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Solution

The fourth proportional to 408,433.88, 612,651.09 and 127,973 is: 191,959.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,433.88 : 612,651.09 = 127,973 : x
  2. Step 2: Convert to fraction form
    408,433.88/612,651.09 = 127,973/x
  3. Step 3: Cross multiply
    408,433.88x = 612,651.09 × 127,973
  4. Step 4: Simplify right side
    408,433.88x = 78,402,797,940.57
  5. Step 5: Solve for x
    x = 78,402,797,940.57/408,433.88
  6. Step 6: Final answer
    x = 191,959.58

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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.