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Finding the Fourth Proportional to 397,874.31, 596,817.81 and 221,502.39

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Solution

The fourth proportional to 397,874.31, 596,817.81 and 221,502.39 is: 332,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,874.31 : 596,817.81 = 221,502.39 : x
  2. Step 2: Convert to fraction form
    397,874.31/596,817.81 = 221,502.39/x
  3. Step 3: Cross multiply
    397,874.31x = 596,817.81 × 221,502.39
  4. Step 4: Simplify right side
    397,874.31x = 132,196,571,309.57
  5. Step 5: Solve for x
    x = 132,196,571,309.57/397,874.31
  6. Step 6: Final answer
    x = 332,257.12

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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.