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Finding the Fourth Proportional to 1,309,911.82, 1,964,755.19 and 797,443.95

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Solution

The fourth proportional to 1,309,911.82, 1,964,755.19 and 797,443.95 is: 1,196,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,911.82 : 1,964,755.19 = 797,443.95 : x
  2. Step 2: Convert to fraction form
    1,309,911.82/1,964,755.19 = 797,443.95/x
  3. Step 3: Cross multiply
    1,309,911.82x = 1,964,755.19 × 797,443.95
  4. Step 4: Simplify right side
    1,309,911.82x = 1,566,782,144,372.42
  5. Step 5: Solve for x
    x = 1,566,782,144,372.42/1,309,911.82
  6. Step 6: Final answer
    x = 1,196,097.42

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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.