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Finding the Fourth Proportional to 376,456.98, 519,511.65 and 206,702.10

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Solution

The fourth proportional to 376,456.98, 519,511.65 and 206,702.10 is: 285,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,456.98 : 519,511.65 = 206,702.10 : x
  2. Step 2: Convert to fraction form
    376,456.98/519,511.65 = 206,702.10/x
  3. Step 3: Cross multiply
    376,456.98x = 519,511.65 × 206,702.10
  4. Step 4: Simplify right side
    376,456.98x = 107,384,149,029.47
  5. Step 5: Solve for x
    x = 107,384,149,029.47/376,456.98
  6. Step 6: Final answer
    x = 285,249.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.