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Finding the Fourth Proportional to 391,284, 539,974.08 and 212,436

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Solution

The fourth proportional to 391,284, 539,974.08 and 212,436 is: 293,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,284 : 539,974.08 = 212,436 : x
  2. Step 2: Convert to fraction form
    391,284/539,974.08 = 212,436/x
  3. Step 3: Cross multiply
    391,284x = 539,974.08 × 212,436
  4. Step 4: Simplify right side
    391,284x = 114,709,933,658.88
  5. Step 5: Solve for x
    x = 114,709,933,658.88/391,284
  6. Step 6: Final answer
    x = 293,162.85

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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.