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Finding the Fourth Proportional to 391,865.72, 587,965.02 and 214,165.14

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Solution

The fourth proportional to 391,865.72, 587,965.02 and 214,165.14 is: 321,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,865.72 : 587,965.02 = 214,165.14 : x
  2. Step 2: Convert to fraction form
    391,865.72/587,965.02 = 214,165.14/x
  3. Step 3: Cross multiply
    391,865.72x = 587,965.02 × 214,165.14
  4. Step 4: Simplify right side
    391,865.72x = 125,921,610,823.40
  5. Step 5: Solve for x
    x = 125,921,610,823.40/391,865.72
  6. Step 6: Final answer
    x = 321,338.67

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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.