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Finding the Fourth Proportional to 262,661, 393,991.50 and 65,669

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Solution

The fourth proportional to 262,661, 393,991.50 and 65,669 is: 98,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,661 : 393,991.50 = 65,669 : x
  2. Step 2: Convert to fraction form
    262,661/393,991.50 = 65,669/x
  3. Step 3: Cross multiply
    262,661x = 393,991.50 × 65,669
  4. Step 4: Simplify right side
    262,661x = 25,873,027,813.50
  5. Step 5: Solve for x
    x = 25,873,027,813.50/262,661
  6. Step 6: Final answer
    x = 98,503.50

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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.