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Finding the Fourth Proportional to 664,590, 996,885 and 197,646

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Solution

The fourth proportional to 664,590, 996,885 and 197,646 is: 296,469

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,590 : 996,885 = 197,646 : x
  2. Step 2: Convert to fraction form
    664,590/996,885 = 197,646/x
  3. Step 3: Cross multiply
    664,590x = 996,885 × 197,646
  4. Step 4: Simplify right side
    664,590x = 197,030,332,710
  5. Step 5: Solve for x
    x = 197,030,332,710/664,590
  6. Step 6: Final answer
    x = 296,469

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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.