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Finding the Fourth Proportional to 442,791.36, 610,338.24 and 299,499.12

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Solution

The fourth proportional to 442,791.36, 610,338.24 and 299,499.12 is: 412,825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,791.36 : 610,338.24 = 299,499.12 : x
  2. Step 2: Convert to fraction form
    442,791.36/610,338.24 = 299,499.12/x
  3. Step 3: Cross multiply
    442,791.36x = 610,338.24 × 299,499.12
  4. Step 4: Simplify right side
    442,791.36x = 182,795,765,782.35
  5. Step 5: Solve for x
    x = 182,795,765,782.35/442,791.36
  6. Step 6: Final answer
    x = 412,825.95

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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.