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Finding the Fourth Proportional to 804,072, 1,206,660.96 and 278,760

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Solution

The fourth proportional to 804,072, 1,206,660.96 and 278,760 is: 418,331.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,072 : 1,206,660.96 = 278,760 : x
  2. Step 2: Convert to fraction form
    804,072/1,206,660.96 = 278,760/x
  3. Step 3: Cross multiply
    804,072x = 1,206,660.96 × 278,760
  4. Step 4: Simplify right side
    804,072x = 336,368,809,209.60
  5. Step 5: Solve for x
    x = 336,368,809,209.60/804,072
  6. Step 6: Final answer
    x = 418,331.70

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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.