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Finding the Fourth Proportional to 1,412,287.84, 1,948,811.56 and 839,217.30

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Solution

The fourth proportional to 1,412,287.84, 1,948,811.56 and 839,217.30 is: 1,158,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,287.84 : 1,948,811.56 = 839,217.30 : x
  2. Step 2: Convert to fraction form
    1,412,287.84/1,948,811.56 = 839,217.30/x
  3. Step 3: Cross multiply
    1,412,287.84x = 1,948,811.56 × 839,217.30
  4. Step 4: Simplify right side
    1,412,287.84x = 1,635,476,375,591.99
  5. Step 5: Solve for x
    x = 1,635,476,375,591.99/1,412,287.84
  6. Step 6: Final answer
    x = 1,158,033.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.