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Finding the Fourth Proportional to 715,700.23, 987,668.37 and 409,781.31

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Solution

The fourth proportional to 715,700.23, 987,668.37 and 409,781.31 is: 565,499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,700.23 : 987,668.37 = 409,781.31 : x
  2. Step 2: Convert to fraction form
    715,700.23/987,668.37 = 409,781.31/x
  3. Step 3: Cross multiply
    715,700.23x = 987,668.37 × 409,781.31
  4. Step 4: Simplify right side
    715,700.23x = 404,728,031,516.92
  5. Step 5: Solve for x
    x = 404,728,031,516.92/715,700.23
  6. Step 6: Final answer
    x = 565,499.37

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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.