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Finding the Fourth Proportional to 378,568.76, 568,203.06 and 191,711.48

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Solution

The fourth proportional to 378,568.76, 568,203.06 and 191,711.48 is: 287,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,568.76 : 568,203.06 = 191,711.48 : x
  2. Step 2: Convert to fraction form
    378,568.76/568,203.06 = 191,711.48/x
  3. Step 3: Cross multiply
    378,568.76x = 568,203.06 × 191,711.48
  4. Step 4: Simplify right side
    378,568.76x = 108,931,049,573.13
  5. Step 5: Solve for x
    x = 108,931,049,573.13/378,568.76
  6. Step 6: Final answer
    x = 287,744.42

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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.