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Finding the Fourth Proportional to 453,396.78, 680,133.24 and 137,856.42

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Solution

The fourth proportional to 453,396.78, 680,133.24 and 137,856.42 is: 206,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,396.78 : 680,133.24 = 137,856.42 : x
  2. Step 2: Convert to fraction form
    453,396.78/680,133.24 = 137,856.42/x
  3. Step 3: Cross multiply
    453,396.78x = 680,133.24 × 137,856.42
  4. Step 4: Simplify right side
    453,396.78x = 93,760,733,589.40
  5. Step 5: Solve for x
    x = 93,760,733,589.40/453,396.78
  6. Step 6: Final answer
    x = 206,796.21

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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.