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Finding the Fourth Proportional to 1,412,918.07, 1,949,878.13 and 809,422.71

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Solution

The fourth proportional to 1,412,918.07, 1,949,878.13 and 809,422.71 is: 1,117,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,918.07 : 1,949,878.13 = 809,422.71 : x
  2. Step 2: Convert to fraction form
    1,412,918.07/1,949,878.13 = 809,422.71/x
  3. Step 3: Cross multiply
    1,412,918.07x = 1,949,878.13 × 809,422.71
  4. Step 4: Simplify right side
    1,412,918.07x = 1,578,275,636,107.22
  5. Step 5: Solve for x
    x = 1,578,275,636,107.22/1,412,918.07
  6. Step 6: Final answer
    x = 1,117,032.66

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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.