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Finding the Fourth Proportional to 422,082.72, 633,156.88 and 122,568.16

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Solution

The fourth proportional to 422,082.72, 633,156.88 and 122,568.16 is: 183,861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,082.72 : 633,156.88 = 122,568.16 : x
  2. Step 2: Convert to fraction form
    422,082.72/633,156.88 = 122,568.16/x
  3. Step 3: Cross multiply
    422,082.72x = 633,156.88 × 122,568.16
  4. Step 4: Simplify right side
    422,082.72x = 77,604,873,772.94
  5. Step 5: Solve for x
    x = 77,604,873,772.94/422,082.72
  6. Step 6: Final answer
    x = 183,861.76

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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.