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Finding the Fourth Proportional to 414,446, 621,669 and 133,963.25

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Solution

The fourth proportional to 414,446, 621,669 and 133,963.25 is: 200,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,446 : 621,669 = 133,963.25 : x
  2. Step 2: Convert to fraction form
    414,446/621,669 = 133,963.25/x
  3. Step 3: Cross multiply
    414,446x = 621,669 × 133,963.25
  4. Step 4: Simplify right side
    414,446x = 83,280,799,664.25
  5. Step 5: Solve for x
    x = 83,280,799,664.25/414,446
  6. Step 6: Final answer
    x = 200,944.88

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1.5x scale

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.