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Finding the Fourth Proportional to 1,784,255.40, 2,676,383.10 and 1,028,428.20

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Solution

The fourth proportional to 1,784,255.40, 2,676,383.10 and 1,028,428.20 is: 1,542,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,255.40 : 2,676,383.10 = 1,028,428.20 : x
  2. Step 2: Convert to fraction form
    1,784,255.40/2,676,383.10 = 1,028,428.20/x
  3. Step 3: Cross multiply
    1,784,255.40x = 2,676,383.10 × 1,028,428.20
  4. Step 4: Simplify right side
    1,784,255.40x = 2,752,467,854,043.42
  5. Step 5: Solve for x
    x = 2,752,467,854,043.42/1,784,255.40
  6. Step 6: Final answer
    x = 1,542,642.30

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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.