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Finding the Fourth Proportional to 492,082.60, 737,087.10 and 409,138.60

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Solution

The fourth proportional to 492,082.60, 737,087.10 and 409,138.60 is: 612,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,082.60 : 737,087.10 = 409,138.60 : x
  2. Step 2: Convert to fraction form
    492,082.60/737,087.10 = 409,138.60/x
  3. Step 3: Cross multiply
    492,082.60x = 737,087.10 × 409,138.60
  4. Step 4: Simplify right side
    492,082.60x = 301,570,784,172.06
  5. Step 5: Solve for x
    x = 301,570,784,172.06/492,082.60
  6. Step 6: Final answer
    x = 612,845.86

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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.