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Finding the Fourth Proportional to 785,338.38, 1,177,716.60 and 279,765

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Solution

The fourth proportional to 785,338.38, 1,177,716.60 and 279,765 is: 419,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,338.38 : 1,177,716.60 = 279,765 : x
  2. Step 2: Convert to fraction form
    785,338.38/1,177,716.60 = 279,765/x
  3. Step 3: Cross multiply
    785,338.38x = 1,177,716.60 × 279,765
  4. Step 4: Simplify right side
    785,338.38x = 329,483,884,599
  5. Step 5: Solve for x
    x = 329,483,884,599/785,338.38
  6. Step 6: Final answer
    x = 419,543.85

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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.