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Finding the Fourth Proportional to 414,504.08, 621,600.60 and 133,946

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Solution

The fourth proportional to 414,504.08, 621,600.60 and 133,946 is: 200,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,504.08 : 621,600.60 = 133,946 : x
  2. Step 2: Convert to fraction form
    414,504.08/621,600.60 = 133,946/x
  3. Step 3: Cross multiply
    414,504.08x = 621,600.60 × 133,946
  4. Step 4: Simplify right side
    414,504.08x = 83,260,913,967.60
  5. Step 5: Solve for x
    x = 83,260,913,967.60/414,504.08
  6. Step 6: Final answer
    x = 200,868.74

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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.