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Finding the Fourth Proportional to 270,307.75, 405,067.95 and 129,902.35

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Solution

The fourth proportional to 270,307.75, 405,067.95 and 129,902.35 is: 194,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,307.75 : 405,067.95 = 129,902.35 : x
  2. Step 2: Convert to fraction form
    270,307.75/405,067.95 = 129,902.35/x
  3. Step 3: Cross multiply
    270,307.75x = 405,067.95 × 129,902.35
  4. Step 4: Simplify right side
    270,307.75x = 52,619,278,614.68
  5. Step 5: Solve for x
    x = 52,619,278,614.68/270,307.75
  6. Step 6: Final answer
    x = 194,664.34

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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.