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Finding the Fourth Proportional to 695,993.23, 960,425.13 and 409,457.89

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Solution

The fourth proportional to 695,993.23, 960,425.13 and 409,457.89 is: 565,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,993.23 : 960,425.13 = 409,457.89 : x
  2. Step 2: Convert to fraction form
    695,993.23/960,425.13 = 409,457.89/x
  3. Step 3: Cross multiply
    695,993.23x = 960,425.13 × 409,457.89
  4. Step 4: Simplify right side
    695,993.23x = 393,253,647,232.78
  5. Step 5: Solve for x
    x = 393,253,647,232.78/695,993.23
  6. Step 6: Final answer
    x = 565,025.10

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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.