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Finding the Fourth Proportional to 414,503.08, 621,599.10 and 133,945

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Solution

The fourth proportional to 414,503.08, 621,599.10 and 133,945 is: 200,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,503.08 : 621,599.10 = 133,945 : x
  2. Step 2: Convert to fraction form
    414,503.08/621,599.10 = 133,945/x
  3. Step 3: Cross multiply
    414,503.08x = 621,599.10 × 133,945
  4. Step 4: Simplify right side
    414,503.08x = 83,260,091,449.50
  5. Step 5: Solve for x
    x = 83,260,091,449.50/414,503.08
  6. Step 6: Final answer
    x = 200,867.24

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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.