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Finding the Fourth Proportional to 1,412,909.82, 1,949,866.74 and 809,414.46

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Solution

The fourth proportional to 1,412,909.82, 1,949,866.74 and 809,414.46 is: 1,117,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,909.82 : 1,949,866.74 = 809,414.46 : x
  2. Step 2: Convert to fraction form
    1,412,909.82/1,949,866.74 = 809,414.46/x
  3. Step 3: Cross multiply
    1,412,909.82x = 1,949,866.74 × 809,414.46
  4. Step 4: Simplify right side
    1,412,909.82x = 1,578,250,334,429.06
  5. Step 5: Solve for x
    x = 1,578,250,334,429.06/1,412,909.82
  6. Step 6: Final answer
    x = 1,117,021.28

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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.