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Finding the Fourth Proportional to 391,022.28, 586,002.87 and 166,100.67

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Solution

The fourth proportional to 391,022.28, 586,002.87 and 166,100.67 is: 248,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,022.28 : 586,002.87 = 166,100.67 : x
  2. Step 2: Convert to fraction form
    391,022.28/586,002.87 = 166,100.67/x
  3. Step 3: Cross multiply
    391,022.28x = 586,002.87 × 166,100.67
  4. Step 4: Simplify right side
    391,022.28x = 97,335,469,328.92
  5. Step 5: Solve for x
    x = 97,335,469,328.92/391,022.28
  6. Step 6: Final answer
    x = 248,925.63

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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.