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Finding the Fourth Proportional to 411,604.95, 617,428.14 and 131,144.07

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Solution

The fourth proportional to 411,604.95, 617,428.14 and 131,144.07 is: 196,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,604.95 : 617,428.14 = 131,144.07 : x
  2. Step 2: Convert to fraction form
    411,604.95/617,428.14 = 131,144.07/x
  3. Step 3: Cross multiply
    411,604.95x = 617,428.14 × 131,144.07
  4. Step 4: Simplify right side
    411,604.95x = 80,972,041,035.70
  5. Step 5: Solve for x
    x = 80,972,041,035.70/411,604.95
  6. Step 6: Final answer
    x = 196,722.71

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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.