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Finding the Fourth Proportional to 270,796.32, 406,427.76 and 130,672.80

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Solution

The fourth proportional to 270,796.32, 406,427.76 and 130,672.80 is: 196,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,796.32 : 406,427.76 = 130,672.80 : x
  2. Step 2: Convert to fraction form
    270,796.32/406,427.76 = 130,672.80/x
  3. Step 3: Cross multiply
    270,796.32x = 406,427.76 × 130,672.80
  4. Step 4: Simplify right side
    270,796.32x = 53,109,053,396.93
  5. Step 5: Solve for x
    x = 53,109,053,396.93/270,796.32
  6. Step 6: Final answer
    x = 196,121.77

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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.