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Finding the Fourth Proportional to 408,090.20, 612,135.30 and 127,693.40

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Solution

The fourth proportional to 408,090.20, 612,135.30 and 127,693.40 is: 191,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,090.20 : 612,135.30 = 127,693.40 : x
  2. Step 2: Convert to fraction form
    408,090.20/612,135.30 = 127,693.40/x
  3. Step 3: Cross multiply
    408,090.20x = 612,135.30 × 127,693.40
  4. Step 4: Simplify right side
    408,090.20x = 78,165,637,717.02
  5. Step 5: Solve for x
    x = 78,165,637,717.02/408,090.20
  6. Step 6: Final answer
    x = 191,540.10

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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.