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Finding the Fourth Proportional to 715,700.67, 987,668.97 and 409,781.74

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Solution

The fourth proportional to 715,700.67, 987,668.97 and 409,781.74 is: 565,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,700.67 : 987,668.97 = 409,781.74 : x
  2. Step 2: Convert to fraction form
    715,700.67/987,668.97 = 409,781.74/x
  3. Step 3: Cross multiply
    715,700.67x = 987,668.97 × 409,781.74
  4. Step 4: Simplify right side
    715,700.67x = 404,728,709,070.61
  5. Step 5: Solve for x
    x = 404,728,709,070.61/715,700.67
  6. Step 6: Final answer
    x = 565,499.97

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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.