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Finding the Fourth Proportional to 321,693,603.82, 482,320,114.38 and 163,821,022.91

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Solution

The fourth proportional to 321,693,603.82, 482,320,114.38 and 163,821,022.91 is: 245,619,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,693,603.82 : 482,320,114.38 = 163,821,022.91 : x
  2. Step 2: Convert to fraction form
    321,693,603.82/482,320,114.38 = 163,821,022.91/x
  3. Step 3: Cross multiply
    321,693,603.82x = 482,320,114.38 × 163,821,022.91
  4. Step 4: Simplify right side
    321,693,603.82x = 79,014,174,507,196,896
  5. Step 5: Solve for x
    x = 79,014,174,507,196,896/321,693,603.82
  6. Step 6: Final answer
    x = 245,619,351.98

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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.