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Finding the Fourth Proportional to 518,531, 715,573.26 and 280,067

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Solution

The fourth proportional to 518,531, 715,573.26 and 280,067 is: 386,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,531 : 715,573.26 = 280,067 : x
  2. Step 2: Convert to fraction form
    518,531/715,573.26 = 280,067/x
  3. Step 3: Cross multiply
    518,531x = 715,573.26 × 280,067
  4. Step 4: Simplify right side
    518,531x = 200,408,456,208.42
  5. Step 5: Solve for x
    x = 200,408,456,208.42/518,531
  6. Step 6: Final answer
    x = 386,492.72

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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.