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Finding the Fourth Proportional to 1,298,791.82, 1,946,057.97 and 917,851.96

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Solution

The fourth proportional to 1,298,791.82, 1,946,057.97 and 917,851.96 is: 1,375,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,791.82 : 1,946,057.97 = 917,851.96 : x
  2. Step 2: Convert to fraction form
    1,298,791.82/1,946,057.97 = 917,851.96/x
  3. Step 3: Cross multiply
    1,298,791.82x = 1,946,057.97 × 917,851.96
  4. Step 4: Simplify right side
    1,298,791.82x = 1,786,193,117,172.98
  5. Step 5: Solve for x
    x = 1,786,193,117,172.98/1,298,791.82
  6. Step 6: Final answer
    x = 1,375,272.84

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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.