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Finding the Fourth Proportional to 715,700.42, 987,668.62 and 409,781.49

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Solution

The fourth proportional to 715,700.42, 987,668.62 and 409,781.49 is: 565,499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,700.42 : 987,668.62 = 409,781.49 : x
  2. Step 2: Convert to fraction form
    715,700.42/987,668.62 = 409,781.49/x
  3. Step 3: Cross multiply
    715,700.42x = 987,668.62 × 409,781.49
  4. Step 4: Simplify right side
    715,700.42x = 404,728,318,729.84
  5. Step 5: Solve for x
    x = 404,728,318,729.84/715,700.42
  6. Step 6: Final answer
    x = 565,499.62

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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.