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Finding the Fourth Proportional to 408,446.88, 612,670.59 and 127,986

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Solution

The fourth proportional to 408,446.88, 612,670.59 and 127,986 is: 191,979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,446.88 : 612,670.59 = 127,986 : x
  2. Step 2: Convert to fraction form
    408,446.88/612,670.59 = 127,986/x
  3. Step 3: Cross multiply
    408,446.88x = 612,670.59 × 127,986
  4. Step 4: Simplify right side
    408,446.88x = 78,413,258,131.74
  5. Step 5: Solve for x
    x = 78,413,258,131.74/408,446.88
  6. Step 6: Final answer
    x = 191,979.08

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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.