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Finding the Fourth Proportional to 664,366, 996,549 and 215,462.40

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Solution

The fourth proportional to 664,366, 996,549 and 215,462.40 is: 323,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,366 : 996,549 = 215,462.40 : x
  2. Step 2: Convert to fraction form
    664,366/996,549 = 215,462.40/x
  3. Step 3: Cross multiply
    664,366x = 996,549 × 215,462.40
  4. Step 4: Simplify right side
    664,366x = 214,718,839,257.60
  5. Step 5: Solve for x
    x = 214,718,839,257.60/664,366
  6. Step 6: Final answer
    x = 323,193.60

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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.