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Finding the Fourth Proportional to 695,858.72, 960,474 and 409,470.88

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Solution

The fourth proportional to 695,858.72, 960,474 and 409,470.88 is: 565,181.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,858.72 : 960,474 = 409,470.88 : x
  2. Step 2: Convert to fraction form
    695,858.72/960,474 = 409,470.88/x
  3. Step 3: Cross multiply
    695,858.72x = 960,474 × 409,470.88
  4. Step 4: Simplify right side
    695,858.72x = 393,286,133,997.12
  5. Step 5: Solve for x
    x = 393,286,133,997.12/695,858.72
  6. Step 6: Final answer
    x = 565,181.01

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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.