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Finding the Fourth Proportional to 715,716.86, 987,691.28 and 409,797.96

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Solution

The fourth proportional to 715,716.86, 987,691.28 and 409,797.96 is: 565,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,716.86 : 987,691.28 = 409,797.96 : x
  2. Step 2: Convert to fraction form
    715,716.86/987,691.28 = 409,797.96/x
  3. Step 3: Cross multiply
    715,716.86x = 987,691.28 × 409,797.96
  4. Step 4: Simplify right side
    715,716.86x = 404,753,871,653.79
  5. Step 5: Solve for x
    x = 404,753,871,653.79/715,716.86
  6. Step 6: Final answer
    x = 565,522.34

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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.