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Finding the Fourth Proportional to 1,321,995,668.82, 1,982,921,741.07 and 401,800,262.91

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Solution

The fourth proportional to 1,321,995,668.82, 1,982,921,741.07 and 401,800,262.91 is: 602,678,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321,995,668.82 : 1,982,921,741.07 = 401,800,262.91 : x
  2. Step 2: Convert to fraction form
    1,321,995,668.82/1,982,921,741.07 = 401,800,262.91/x
  3. Step 3: Cross multiply
    1,321,995,668.82x = 1,982,921,741.07 × 401,800,262.91
  4. Step 4: Simplify right side
    1,321,995,668.82x = 796,738,476,891,880,960
  5. Step 5: Solve for x
    x = 796,738,476,891,880,960/1,321,995,668.82
  6. Step 6: Final answer
    x = 602,678,583.36

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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.