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Finding the Fourth Proportional to 819,019.84, 1,228,236 and 313,722.88

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Solution

The fourth proportional to 819,019.84, 1,228,236 and 313,722.88 is: 470,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,019.84 : 1,228,236 = 313,722.88 : x
  2. Step 2: Convert to fraction form
    819,019.84/1,228,236 = 313,722.88/x
  3. Step 3: Cross multiply
    819,019.84x = 1,228,236 × 313,722.88
  4. Step 4: Simplify right side
    819,019.84x = 385,325,735,239.68
  5. Step 5: Solve for x
    x = 385,325,735,239.68/819,019.84
  6. Step 6: Final answer
    x = 470,471.80

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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.