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Finding the Fourth Proportional to 664,592, 996,888 and 197,648

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Solution

The fourth proportional to 664,592, 996,888 and 197,648 is: 296,472

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,592 : 996,888 = 197,648 : x
  2. Step 2: Convert to fraction form
    664,592/996,888 = 197,648/x
  3. Step 3: Cross multiply
    664,592x = 996,888 × 197,648
  4. Step 4: Simplify right side
    664,592x = 197,032,919,424
  5. Step 5: Solve for x
    x = 197,032,919,424/664,592
  6. Step 6: Final answer
    x = 296,472

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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.