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Finding the Fourth Proportional to 465,660.60, 697,906.50 and 199,107.72

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Solution

The fourth proportional to 465,660.60, 697,906.50 and 199,107.72 is: 298,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,660.60 : 697,906.50 = 199,107.72 : x
  2. Step 2: Convert to fraction form
    465,660.60/697,906.50 = 199,107.72/x
  3. Step 3: Cross multiply
    465,660.60x = 697,906.50 × 199,107.72
  4. Step 4: Simplify right side
    465,660.60x = 138,958,571,988.18
  5. Step 5: Solve for x
    x = 138,958,571,988.18/465,660.60
  6. Step 6: Final answer
    x = 298,411.70

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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.