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Finding the Fourth Proportional to 1,422,158.22, 1,962,578.52 and 777,578.86

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Solution

The fourth proportional to 1,422,158.22, 1,962,578.52 and 777,578.86 is: 1,073,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422,158.22 : 1,962,578.52 = 777,578.86 : x
  2. Step 2: Convert to fraction form
    1,422,158.22/1,962,578.52 = 777,578.86/x
  3. Step 3: Cross multiply
    1,422,158.22x = 1,962,578.52 × 777,578.86
  4. Step 4: Simplify right side
    1,422,158.22x = 1,526,059,568,242.09
  5. Step 5: Solve for x
    x = 1,526,059,568,242.09/1,422,158.22
  6. Step 6: Final answer
    x = 1,073,058.92

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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.