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Finding the Fourth Proportional to 391,086, 539,705.16 and 212,238

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Solution

The fourth proportional to 391,086, 539,705.16 and 212,238 is: 292,891.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,086 : 539,705.16 = 212,238 : x
  2. Step 2: Convert to fraction form
    391,086/539,705.16 = 212,238/x
  3. Step 3: Cross multiply
    391,086x = 539,705.16 × 212,238
  4. Step 4: Simplify right side
    391,086x = 114,545,943,748.08
  5. Step 5: Solve for x
    x = 114,545,943,748.08/391,086
  6. Step 6: Final answer
    x = 292,891.96

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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.