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Finding the Fourth Proportional to 804,073, 1,206,662.46 and 278,761

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Solution

The fourth proportional to 804,073, 1,206,662.46 and 278,761 is: 418,333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,073 : 1,206,662.46 = 278,761 : x
  2. Step 2: Convert to fraction form
    804,073/1,206,662.46 = 278,761/x
  3. Step 3: Cross multiply
    804,073x = 1,206,662.46 × 278,761
  4. Step 4: Simplify right side
    804,073x = 336,370,434,012.06
  5. Step 5: Solve for x
    x = 336,370,434,012.06/804,073
  6. Step 6: Final answer
    x = 418,333.20

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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.