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Finding the Fourth Proportional to 378,575.76, 568,213.56 and 191,718.48

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Solution

The fourth proportional to 378,575.76, 568,213.56 and 191,718.48 is: 287,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,575.76 : 568,213.56 = 191,718.48 : x
  2. Step 2: Convert to fraction form
    378,575.76/568,213.56 = 191,718.48/x
  3. Step 3: Cross multiply
    378,575.76x = 568,213.56 × 191,718.48
  4. Step 4: Simplify right side
    378,575.76x = 108,937,040,038.59
  5. Step 5: Solve for x
    x = 108,937,040,038.59/378,575.76
  6. Step 6: Final answer
    x = 287,754.93

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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.