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Finding the Fourth Proportional to 411,771.17, 617,638.56 and 112,251.75

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Solution

The fourth proportional to 411,771.17, 617,638.56 and 112,251.75 is: 168,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,771.17 : 617,638.56 = 112,251.75 : x
  2. Step 2: Convert to fraction form
    411,771.17/617,638.56 = 112,251.75/x
  3. Step 3: Cross multiply
    411,771.17x = 617,638.56 × 112,251.75
  4. Step 4: Simplify right side
    411,771.17x = 69,331,009,227.48
  5. Step 5: Solve for x
    x = 69,331,009,227.48/411,771.17
  6. Step 6: Final answer
    x = 168,372.67

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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.