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Finding the Fourth Proportional to 391,217.63, 586,914.38 and 211,299.21

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Solution

The fourth proportional to 391,217.63, 586,914.38 and 211,299.21 is: 316,996.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,217.63 : 586,914.38 = 211,299.21 : x
  2. Step 2: Convert to fraction form
    391,217.63/586,914.38 = 211,299.21/x
  3. Step 3: Cross multiply
    391,217.63x = 586,914.38 × 211,299.21
  4. Step 4: Simplify right side
    391,217.63x = 124,014,543,775.14
  5. Step 5: Solve for x
    x = 124,014,543,775.14/391,217.63
  6. Step 6: Final answer
    x = 316,996.31

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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.