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Finding the Fourth Proportional to 391,231.66, 587,065.46 and 211,313.44

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Solution

The fourth proportional to 391,231.66, 587,065.46 and 211,313.44 is: 317,087.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,231.66 : 587,065.46 = 211,313.44 : x
  2. Step 2: Convert to fraction form
    391,231.66/587,065.46 = 211,313.44/x
  3. Step 3: Cross multiply
    391,231.66x = 587,065.46 × 211,313.44
  4. Step 4: Simplify right side
    391,231.66x = 124,054,821,857.78
  5. Step 5: Solve for x
    x = 124,054,821,857.78/391,231.66
  6. Step 6: Final answer
    x = 317,087.89

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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.