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Finding the Fourth Proportional to 408,274.80, 612,431.40 and 127,801.20

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Solution

The fourth proportional to 408,274.80, 612,431.40 and 127,801.20 is: 191,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,274.80 : 612,431.40 = 127,801.20 : x
  2. Step 2: Convert to fraction form
    408,274.80/612,431.40 = 127,801.20/x
  3. Step 3: Cross multiply
    408,274.80x = 612,431.40 × 127,801.20
  4. Step 4: Simplify right side
    408,274.80x = 78,269,467,837.68
  5. Step 5: Solve for x
    x = 78,269,467,837.68/408,274.80
  6. Step 6: Final answer
    x = 191,707.81

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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.