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Finding the Fourth Proportional to 391,524.20, 587,286.30 and 361,111.40

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Solution

The fourth proportional to 391,524.20, 587,286.30 and 361,111.40 is: 541,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,524.20 : 587,286.30 = 361,111.40 : x
  2. Step 2: Convert to fraction form
    391,524.20/587,286.30 = 361,111.40/x
  3. Step 3: Cross multiply
    391,524.20x = 587,286.30 × 361,111.40
  4. Step 4: Simplify right side
    391,524.20x = 212,075,777,993.82
  5. Step 5: Solve for x
    x = 212,075,777,993.82/391,524.20
  6. Step 6: Final answer
    x = 541,667.10

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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.