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Finding the Fourth Proportional to 640,496.34, 960,709.86 and 324,945.09

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Solution

The fourth proportional to 640,496.34, 960,709.86 and 324,945.09 is: 487,400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,496.34 : 960,709.86 = 324,945.09 : x
  2. Step 2: Convert to fraction form
    640,496.34/960,709.86 = 324,945.09/x
  3. Step 3: Cross multiply
    640,496.34x = 960,709.86 × 324,945.09
  4. Step 4: Simplify right side
    640,496.34x = 312,177,951,921.59
  5. Step 5: Solve for x
    x = 312,177,951,921.59/640,496.34
  6. Step 6: Final answer
    x = 487,400.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.