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Finding the Fourth Proportional to 409,665.70, 613,922.55 and 325,569.70

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Solution

The fourth proportional to 409,665.70, 613,922.55 and 325,569.70 is: 487,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,665.70 : 613,922.55 = 325,569.70 : x
  2. Step 2: Convert to fraction form
    409,665.70/613,922.55 = 325,569.70/x
  3. Step 3: Cross multiply
    409,665.70x = 613,922.55 × 325,569.70
  4. Step 4: Simplify right side
    409,665.70x = 199,874,580,426.74
  5. Step 5: Solve for x
    x = 199,874,580,426.74/409,665.70
  6. Step 6: Final answer
    x = 487,896.79

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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.