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Finding the Fourth Proportional to 378,578.84, 567,702 and 141,755.44

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Solution

The fourth proportional to 378,578.84, 567,702 and 141,755.44 is: 212,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,578.84 : 567,702 = 141,755.44 : x
  2. Step 2: Convert to fraction form
    378,578.84/567,702 = 141,755.44/x
  3. Step 3: Cross multiply
    378,578.84x = 567,702 × 141,755.44
  4. Step 4: Simplify right side
    378,578.84x = 80,474,846,798.88
  5. Step 5: Solve for x
    x = 80,474,846,798.88/378,578.84
  6. Step 6: Final answer
    x = 212,570.91

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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.