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Finding the Fourth Proportional to 322,644.96, 482,956.56 and 208,641.51

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Solution

The fourth proportional to 322,644.96, 482,956.56 and 208,641.51 is: 312,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,644.96 : 482,956.56 = 208,641.51 : x
  2. Step 2: Convert to fraction form
    322,644.96/482,956.56 = 208,641.51/x
  3. Step 3: Cross multiply
    322,644.96x = 482,956.56 × 208,641.51
  4. Step 4: Simplify right side
    322,644.96x = 100,764,785,942.81
  5. Step 5: Solve for x
    x = 100,764,785,942.81/322,644.96
  6. Step 6: Final answer
    x = 312,308.57

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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.