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Finding the Fourth Proportional to 819,182.71, 1,229,015.94 and 420,103

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Solution

The fourth proportional to 819,182.71, 1,229,015.94 and 420,103 is: 630,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,182.71 : 1,229,015.94 = 420,103 : x
  2. Step 2: Convert to fraction form
    819,182.71/1,229,015.94 = 420,103/x
  3. Step 3: Cross multiply
    819,182.71x = 1,229,015.94 × 420,103
  4. Step 4: Simplify right side
    819,182.71x = 516,313,283,441.82
  5. Step 5: Solve for x
    x = 516,313,283,441.82/819,182.71
  6. Step 6: Final answer
    x = 630,278.54

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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.