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Finding the Fourth Proportional to 695,857.72, 960,472.62 and 409,469.88

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Solution

The fourth proportional to 695,857.72, 960,472.62 and 409,469.88 is: 565,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,857.72 : 960,472.62 = 409,469.88 : x
  2. Step 2: Convert to fraction form
    695,857.72/960,472.62 = 409,469.88/x
  3. Step 3: Cross multiply
    695,857.72x = 960,472.62 × 409,469.88
  4. Step 4: Simplify right side
    695,857.72x = 393,284,608,454.69
  5. Step 5: Solve for x
    x = 393,284,608,454.69/695,857.72
  6. Step 6: Final answer
    x = 565,179.63

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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.