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Finding the Fourth Proportional to 715,710.69, 987,682.81 and 409,791.78

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Solution

The fourth proportional to 715,710.69, 987,682.81 and 409,791.78 is: 565,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,710.69 : 987,682.81 = 409,791.78 : x
  2. Step 2: Convert to fraction form
    715,710.69/987,682.81 = 409,791.78/x
  3. Step 3: Cross multiply
    715,710.69x = 987,682.81 × 409,791.78
  4. Step 4: Simplify right side
    715,710.69x = 404,744,296,785.30
  5. Step 5: Solve for x
    x = 404,744,296,785.30/715,710.69
  6. Step 6: Final answer
    x = 565,513.83

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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.