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Finding the Fourth Proportional to 605,102.80, 908,310.30 and 380,716.60

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Solution

The fourth proportional to 605,102.80, 908,310.30 and 380,716.60 is: 571,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,102.80 : 908,310.30 = 380,716.60 : x
  2. Step 2: Convert to fraction form
    605,102.80/908,310.30 = 380,716.60/x
  3. Step 3: Cross multiply
    605,102.80x = 908,310.30 × 380,716.60
  4. Step 4: Simplify right side
    605,102.80x = 345,808,809,160.98
  5. Step 5: Solve for x
    x = 345,808,809,160.98/605,102.80
  6. Step 6: Final answer
    x = 571,487.70

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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.