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Finding the Fourth Proportional to 391,243.28, 587,082.96 and 211,325.07

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Solution

The fourth proportional to 391,243.28, 587,082.96 and 211,325.07 is: 317,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,243.28 : 587,082.96 = 211,325.07 : x
  2. Step 2: Convert to fraction form
    391,243.28/587,082.96 = 211,325.07/x
  3. Step 3: Cross multiply
    391,243.28x = 587,082.96 × 211,325.07
  4. Step 4: Simplify right side
    391,243.28x = 124,065,347,617.81
  5. Step 5: Solve for x
    x = 124,065,347,617.81/391,243.28
  6. Step 6: Final answer
    x = 317,105.38

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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.