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Finding the Fourth Proportional to 391,694.70, 587,578.50 and 138,950.40

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Solution

The fourth proportional to 391,694.70, 587,578.50 and 138,950.40 is: 208,438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,694.70 : 587,578.50 = 138,950.40 : x
  2. Step 2: Convert to fraction form
    391,694.70/587,578.50 = 138,950.40/x
  3. Step 3: Cross multiply
    391,694.70x = 587,578.50 × 138,950.40
  4. Step 4: Simplify right side
    391,694.70x = 81,644,267,606.40
  5. Step 5: Solve for x
    x = 81,644,267,606.40/391,694.70
  6. Step 6: Final answer
    x = 208,438.53

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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.