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Finding the Fourth Proportional to 409,664.70, 613,921.05 and 325,568.70

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Solution

The fourth proportional to 409,664.70, 613,921.05 and 325,568.70 is: 487,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,664.70 : 613,921.05 = 325,568.70 : x
  2. Step 2: Convert to fraction form
    409,664.70/613,921.05 = 325,568.70/x
  3. Step 3: Cross multiply
    409,664.70x = 613,921.05 × 325,568.70
  4. Step 4: Simplify right side
    409,664.70x = 199,873,478,151.14
  5. Step 5: Solve for x
    x = 199,873,478,151.14/409,664.70
  6. Step 6: Final answer
    x = 487,895.29

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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.