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Finding the Fourth Proportional to 391,914.50, 587,902.14 and 122,008.74

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Solution

The fourth proportional to 391,914.50, 587,902.14 and 122,008.74 is: 183,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,914.50 : 587,902.14 = 122,008.74 : x
  2. Step 2: Convert to fraction form
    391,914.50/587,902.14 = 122,008.74/x
  3. Step 3: Cross multiply
    391,914.50x = 587,902.14 × 122,008.74
  4. Step 4: Simplify right side
    391,914.50x = 71,729,199,344.70
  5. Step 5: Solve for x
    x = 71,729,199,344.70/391,914.50
  6. Step 6: Final answer
    x = 183,022.57

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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.